Questions on Algebra: Polynomials, rational expressions and equations answered by real tutors!

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Question 152629: simplify:
(4x^3+x^2-3) - (-9x^3+5x^2-6)
: simplify:
(4x^3+x^2-3) - (-9x^3+5x^2-6)

Click here to see answer by Fombitz(1152) About Me 

Question 152556: An express train and a a local train start out from the same point and travel in opposite directions. The express train travels twice as fast as the local train. If they are 480 miles apart, after 4 hours, what is the average speed of each train?: An express train and a a local train start out from the same point and travel in opposite directions. The express train travels twice as fast as the local train. If they are 480 miles apart, after 4 hours, what is the average speed of each train?
Click here to see answer by mducky2(41) About Me 

Question 152559: Give 3 sets of points that satisfy the equations:
2x+2y=4 and y=x^2-4
: Give 3 sets of points that satisfy the equations:
2x+2y=4 and y=x^2-4

Click here to see answer by jim_thompson5910(8009) About Me 

Question 152553: A man who weighs 175 pounds on earth weigh 28 pounds on the moon. How much would his 30 pound dog weigh on the moon?: A man who weighs 175 pounds on earth weigh 28 pounds on the moon. How much would his 30 pound dog weigh on the moon?
Click here to see answer by Fombitz(1152) About Me 
Question 152553: A man who weighs 175 pounds on earth weigh 28 pounds on the moon. How much would his 30 pound dog weigh on the moon?: A man who weighs 175 pounds on earth weigh 28 pounds on the moon. How much would his 30 pound dog weigh on the moon?
Click here to see answer by jim_thompson5910(8009) About Me 

Question 152455: factor by grouping:
8x^2-34x+21
: factor by grouping:
8x^2-34x+21

Click here to see answer by jim_thompson5910(8009) About Me 
Question 152455: factor by grouping:
8x^2-34x+21
: factor by grouping:
8x^2-34x+21

Click here to see answer by checkley77(1452) About Me 

Question 152478: How do you DIVIDE this rational expression: 6-3x/5(division sign)4x-8/25? Whats the answer?: How do you DIVIDE this rational expression: 6-3x/5(division sign)4x-8/25? Whats the answer?
Click here to see answer by Fombitz(1152) About Me 

Question 152457: factor:
-3x^4y^4+12
: factor:
-3x^4y^4+12

Click here to see answer by checkley77(1452) About Me 

Question 152517: g(2+h)=x to the third
the instructor gave us x=(2+h)
and the answer 8+12h+6h suared+h to the third
i haven't been able to get that as my answer.
here's what I have done:
g(2+h)=x to the third
g=(2+h)to the third
g=(2+h)(2+h)(2+h)
g=4+2h+2h+hsquared(2+h)
g=8+4h+4h+2h+2h+2hsquared+h to the third
g=8+12h+2hsquared+h to the third
: g(2+h)=x to the third
the instructor gave us x=(2+h)
and the answer 8+12h+6h suared+h to the third
i haven't been able to get that as my answer.
here's what I have done:
g(2+h)=x to the third
g=(2+h)to the third
g=(2+h)(2+h)(2+h)
g=4+2h+2h+hsquared(2+h)
g=8+4h+4h+2h+2h+2hsquared+h to the third
g=8+12h+2hsquared+h to the third

Click here to see answer by Fombitz(1152) About Me 

Question 152518: g(2+h)=x to the third
the instructor gave us x=(2+h)
and the answer 8+12h+6h suared+h to the third
i haven't been able to get that as my answer.
here's what I have done:
g(2+h)=x to the third
g=(2+h)to the third
g=(2+h)(2+h)(2+h)
g=4+2h+2h+hsquared(2+h)
g=8+4h+4h+2h+2h+2hsquared+h to the third
g=8+12h+2hsquared+h to the third
: g(2+h)=x to the third
the instructor gave us x=(2+h)
and the answer 8+12h+6h suared+h to the third
i haven't been able to get that as my answer.
here's what I have done:
g(2+h)=x to the third
g=(2+h)to the third
g=(2+h)(2+h)(2+h)
g=4+2h+2h+hsquared(2+h)
g=8+4h+4h+2h+2h+2hsquared+h to the third
g=8+12h+2hsquared+h to the third

Click here to see answer by Earlsdon(3413) About Me 

Question 152516This question is from textbook elementary and intermediate algebra concepts and applications
: Can somebody please help me im stuck
. Solve the following problems involving applications of polynomials.
a. A photo is 3 inches longer that it is wide. A 2-inch border is placed around the photo making the total area of the photo and border 108 square inches. What are the dimensions of the photo?
b. A rectangular parking lot is 100 ft longer than it is wide. Determine the dimensions of the parking lot if it measures 500 ft diagonally.
c. Three consecutive odd integers are such that the square of the third is 264 more than the square of the second. Find the three integers.

This question is from textbook elementary and intermediate algebra concepts and applications
: Can somebody please help me im stuck
. Solve the following problems involving applications of polynomials.
a. A photo is 3 inches longer that it is wide. A 2-inch border is placed around the photo making the total area of the photo and border 108 square inches. What are the dimensions of the photo?
b. A rectangular parking lot is 100 ft longer than it is wide. Determine the dimensions of the parking lot if it measures 500 ft diagonally.
c. Three consecutive odd integers are such that the square of the third is 264 more than the square of the second. Find the three integers.


Click here to see answer by mangopeeler07(385) About Me 

Question 152454: factor by grouping:
8x^2+18x-35
: factor by grouping:
8x^2+18x-35

Click here to see answer by Edwin McCravy(1738) About Me 

Question 152458: factor:
-3x^4+27x
: factor:
-3x^4+27x

Click here to see answer by jim_thompson5910(8009) About Me 

Question 152484: How do you DIVIDE this rational expression:x^2+13x+12/x+2(divided by)x+1. : How do you DIVIDE this rational expression:x^2+13x+12/x+2(divided by)x+1.
Click here to see answer by jim_thompson5910(8009) About Me 

Question 152472: How do you multiply a rational expression like this one: 25-x^2/12*6/5-x? Whats the answer?: How do you multiply a rational expression like this one: 25-x^2/12*6/5-x? Whats the answer?
Click here to see answer by oscargut(408) About Me 

Question 152481: How do you Divide this rational expression: x^2-9/4x+12(Divided by)x-3/6? I dont understannd this at all. Whats the answer?: How do you Divide this rational expression: x^2-9/4x+12(Divided by)x-3/6? I dont understannd this at all. Whats the answer?
Click here to see answer by Earlsdon(3413) About Me 

Question 152459: factor:
12x³-16x²-3x+4
: factor:
12x³-16x²-3x+4

Click here to see answer by Edwin McCravy(1738) About Me 

Question 152319: factor:
9x^2 + 3x - 2
: factor:
9x^2 + 3x - 2

Click here to see answer by orca(66) About Me 

Question 152428This question is from textbook elementary and intermediate algebra concecpts and applications
: Can someone please refresh my memory? I really need it Thanks


Solve the following problems involving applications of polynomials.
a. A photo is 3 inches longer that it is wide. A 2-inch border is placed around the photo making the total area of the photo and border 108 square inches. What are the dimensions of the photo?
b. A rectangular parking lot is 100 ft longer than it is wide. Determine the dimensions of the parking lot if it measures 500 ft diagonally.
c. Three consecutive odd integers are such that the square of the third is 264 more than the square of the second. Find the three integers.

This question is from textbook elementary and intermediate algebra concecpts and applications
: Can someone please refresh my memory? I really need it Thanks


Solve the following problems involving applications of polynomials.
a. A photo is 3 inches longer that it is wide. A 2-inch border is placed around the photo making the total area of the photo and border 108 square inches. What are the dimensions of the photo?
b. A rectangular parking lot is 100 ft longer than it is wide. Determine the dimensions of the parking lot if it measures 500 ft diagonally.
c. Three consecutive odd integers are such that the square of the third is 264 more than the square of the second. Find the three integers.


Click here to see answer by jojo14344(271) About Me 

Question 152320: Factor:

9x^2 - 21x + 10
: Factor:

9x^2 - 21x + 10

Click here to see answer by jim_thompson5910(8009) About Me 

Question 152314: (9.29x)(90.4x)...would any body care to answer this???: (9.29x)(90.4x)...would any body care to answer this???
Click here to see answer by checkley77(1452) About Me 

Question 152321: factor:
10x^2 + 21x - 10
: factor:
10x^2 + 21x - 10

Click here to see answer by checkley77(1452) About Me 

Question 152326: Factor completely:
a. 4x^2 + 34x +42
b. x^8 - 1
: Factor completely:
a. 4x^2 + 34x +42
b. x^8 - 1

Click here to see answer by checkley77(1452) About Me 

Question 152317: factor:
6x^3 - 12x^2 - 18x

thanks
: factor:
6x^3 - 12x^2 - 18x

thanks

Click here to see answer by jojo14344(271) About Me 

Question 152274: [(x^3 - 1)/(x^2 +1)] divided by (9x^2 + 9x + 9)/ (x^2 - x)
= (x-1) (x^2 + x +1)/(x^2 +1) divided by [ 9(x^2 + x + 1)]/[ x (x-1)]
= [(x-1)(x^2 + x + 1)/ (x^2 + 1) ] [x (x-1)/9(x^2 + x + 1)]
= [x (x-1)(x-1) / 9(x^2 + 1)]
can this be simplified more? is this correct?
: [(x^3 - 1)/(x^2 +1)] divided by (9x^2 + 9x + 9)/ (x^2 - x)
= (x-1) (x^2 + x +1)/(x^2 +1) divided by [ 9(x^2 + x + 1)]/[ x (x-1)]
= [(x-1)(x^2 + x + 1)/ (x^2 + 1) ] [x (x-1)/9(x^2 + x + 1)]
= [x (x-1)(x-1) / 9(x^2 + 1)]
can this be simplified more? is this correct?

Click here to see answer by orca(66) About Me 

Question 152132: simplify:
2m^2+2m-4 / m+3

: simplify:
2m^2+2m-4 / m+3


Click here to see answer by oscargut(408) About Me 

Question 152131: simplify:
(2x^3+3x^2+2x+2)+(x+1)
I have 4 choices for answer, but my work never gets close to any of them:
a) 2x^2+3x+1 r2
b) 2x^2+3x+1
c) 2x^2+x+1
d) 2x^2+x+1 r1
I really need to see clear instructions on how to compute this type of problem. Thank you very much
: simplify:
(2x^3+3x^2+2x+2)+(x+1)
I have 4 choices for answer, but my work never gets close to any of them:
a) 2x^2+3x+1 r2
b) 2x^2+3x+1
c) 2x^2+x+1
d) 2x^2+x+1 r1
I really need to see clear instructions on how to compute this type of problem. Thank you very much

Click here to see answer by oscargut(408) About Me 

Question 152288: Factor: x^2 + x^3 + 3x + 3
thank you!
: Factor: x^2 + x^3 + 3x + 3
thank you!

Click here to see answer by oscargut(408) About Me 

Question 152275: i dont understand how to factor equations when the exponent is a fraction. help please!
3x^(3/2)-9x^(1/2)+6x^(-1/2)
: i dont understand how to factor equations when the exponent is a fraction. help please!
3x^(3/2)-9x^(1/2)+6x^(-1/2)

Click here to see answer by nerdybill(383) About Me 

Question 152260: How do you simplify a Rational Expression like this: 4x-12/4x, whats the answer?: How do you simplify a Rational Expression like this: 4x-12/4x, whats the answer?
Click here to see answer by jim_thompson5910(8009) About Me 

Question 152261: How do you simplify a rational expression like d+7/d^2-49, whats the answer?: How do you simplify a rational expression like d+7/d^2-49, whats the answer?
Click here to see answer by jim_thompson5910(8009) About Me 

Question 152262: How do you simplify a rational expression like: t^2-25/t^2+t-20, whats the answer?: How do you simplify a rational expression like: t^2-25/t^2+t-20, whats the answer?
Click here to see answer by jim_thompson5910(8009) About Me 

Question 152265: How do you simplify an rational expression like: 6-y/y^2-2y-24, whats the answer?: How do you simplify an rational expression like: 6-y/y^2-2y-24, whats the answer?
Click here to see answer by jim_thompson5910(8009) About Me 

Question 152263: How do you simplify a rational problem like this: 2x^2+6x+4/4x^2-12x-16, whats the answer for this problem? : How do you simplify a rational problem like this: 2x^2+6x+4/4x^2-12x-16, whats the answer for this problem?
Click here to see answer by jim_thompson5910(8009) About Me 

Question 152249: x2+2xy+y2=: x2+2xy+y2=
Click here to see answer by nabla(358) About Me 

Question 152236: Could someone please show me how to solve this equation.
Multiply
(x^8+x^7)*(x^8+x^7-x^6)
: Could someone please show me how to solve this equation.
Multiply
(x^8+x^7)*(x^8+x^7-x^6)

Click here to see answer by Earlsdon(3413) About Me 

Question 152237: Could someone please show me how to simplify this expression?
(b^-6)^-4
: Could someone please show me how to simplify this expression?
(b^-6)^-4

Click here to see answer by oscargut(408) About Me 

Question 152242: I need a little help with this, could you show me how to multiply this expression?
(-1/4x^5)*(-1/5x)
: I need a little help with this, could you show me how to multiply this expression?
(-1/4x^5)*(-1/5x)

Click here to see answer by oscargut(408) About Me 

Question 152241: Could someone show me how to factor this completely? If it is even possible to do so.
5a^2-22a+8
: Could someone show me how to factor this completely? If it is even possible to do so.
5a^2-22a+8

Click here to see answer by oscargut(408) About Me 

Question 152231: Could someone please show me how to divide this equation
(16x^3-8x^2-60x-36)/(4x+4)
: Could someone please show me how to divide this equation
(16x^3-8x^2-60x-36)/(4x+4)

Click here to see answer by ankor@dixie-net.com(3845) About Me 

Question 152239: Factor by grouping, could someone please show me how to solve this equation?
7x^3-7x^2-x+1
: Factor by grouping, could someone please show me how to solve this equation?
7x^3-7x^2-x+1

Click here to see answer by oscargut(408) About Me 

Question 152224: factor:
x^2+8x-9
: factor:
x^2+8x-9

Click here to see answer by nabla(358) About Me 

Question 152223: factor:
x^2+2x+1
thanks
: factor:
x^2+2x+1
thanks

Click here to see answer by nabla(358) About Me 

Question 152225: factor: x^2-5x+6

thanks
: factor: x^2-5x+6

thanks

Click here to see answer by nabla(358) About Me