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

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Algebra: Polynomials, rational expressions and equations

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Question 45244: I can not get the right answer for this. My answer does not match any of the choices. Please help.
Factor completely. y3 – 12y2 + 36y
A) y(y – 9)(y + 4) B) y(y – 6)2 C) y(y + 6)2 D) y(y + 12)(y – 3)

Click here to see answer by rapaljer(3620)

Question 45240: This one is confusing me because of the exponents. Can someone help me?
Factor. 8m4n – 16mn4
Below are my choices:
A) 8m4n(1 – 2n3) B) 8m4n4(m – 2n) C) 8mn(m3 – 2n3)
D) 8m4n(1 – 16mn4)

Click here to see answer by rapaljer(3620)

Question 45262: I am having a hard time with this, can someone help me please?
Rewrite the middle term as the sum of two terms and then factor completely. 15x2 – 21x + 6
Click here to see answer by stanbon(26259)

Question 45276: Fungicides account for 1/10 of the pesticides used in the united states. Insecticides account for 1/4 of all the pesticides used in the united states. The ratio of fungicides to insecticides used in the united states can be written 1/10 / 1/4. Please write this ratio in simplist form.
Click here to see answer by tutmath(14)

Question 45356: Please factor the trinomial completely. Thanks for the help.

Click here to see answer by Earlsdon(4898)

Question 45357: Factor out the variable that is raised to the smaller exponent.

Click here to see answer by Earlsdon(4898)

Question 45279: write each expression in simplest from.
4x-28 / 5x-35
Click here to see answer by checkley71(8405)

Question 45284: add or subract. write answer in simplest form.
5/4cd + 11/4cd
Click here to see answer by checkley71(8405)

Question 45269: x3+6x2+5x+30=0
Click here to see answer by rapaljer(3620)

Question 45264: This does not make sense to me...please help.
Factor by grouping. x3 – 3x2 + 4x – 12
Click here to see answer by rapaljer(3620)

Question 45263: I don't understand this problem. Please help me?

Complete the following statement. 6a2 – 5a + 1 = (3a – 1)( )
Click here to see answer by rapaljer(3620)

Question 45260: I can not figure this problem out, what am I not doing right?
Rewrite the middle term as the sum of two terms and then factor by grouping. x2 – 2x – 63
Click here to see answer by rapaljer(3620)

Question 44811This question is from textbook

: Given that (3x-a)(x-2)(x-7)=3x^3-32x^2+81x-70, determine the value of a.
Thanks!This question is from textbook

Click here to see answer by rapaljer(3620)

Question 45399: WHAT IS THE BASIC RULE TO WRITE THE POLYNOMIALS IN ASCENDING AND DECENDING ORDER. ONLY EXPONENTS OF A PARTICULAR VARIABLE IS TO BE CONSIDERED OR SIGNS(NEGATIVE VALUES) ALSO TO BE TAKEN INTO CONSIDERATION?
Click here to see answer by mathgenius(8)

Question 45239: I am not sure of the formula for this? Can someone help me?

Factor completely. 6x2 + 7x + 2
Below are the choices to choose from:
A( (3x + 1)(2x + 2) C) (3x – 2)(2x – 1)
B) (3x + 2)(2x + 1) D) (6x + 2)(x + 1)

Click here to see answer by mathgenius(8)

Question 45453: (-3ab)2 (-2ab)3
=(-3 to 2nd a2 b2)(-2 to 3rd a3 b3)
=9*8 a2+3 b2+3
=-72 a5 b5

wasn't quite sure how to type out line 2
but I'm tyring to figure out how to determine whether or not an answer is + or -
Click here to see answer by tutorcecilia(2042)

Question 45462: (a-3)(a2 -3a + 4) is the problem
= a3 - 6a2 + 13a - 12 is the solution and I don't have a clue as to how the 13a
plugs including the 12
Click here to see answer by Nate(3495)

Question 45402: Find the perimeter of a rectangle
length is x/2x-5 and height is 8/2x-5
Click here to see answer by Nate(3495)

Question 45476: (a -9b)(2a + 7b)
2a2 - 11ab - 63b2
not sure if this has been solved correctly and if I missed a step
Click here to see answer by stanbon(26259)

Question 45304: I am not understanding the vertical and horizontal asympote of the rational function. Can someone please help me?
Find the vertical asympote of the rational function f(x)= 3x-12/4x-2
Find the horizontal asympote of the rational function f(x)= 8x-12/4x-2
Any help and explanation would be greatly apprecaited.
Thank you
Click here to see answer by jake_6233(74)

Question 45488: 3y.5y2 +3y.8y-3y.2-8.5y2-8.8y+8.2
=15y3+24y2-6y-40y2-64y+16
=15y3-16y2-68y+16
Click here to see answer by justin_lohok(3)

Question 45522: find (4n^3)^2 if 2n - 3 = 4n - 7
not quite sure how to even begin solving this one
Click here to see answer by stanbon(26259)

Question 45516: (a + b)^2 - (a - b)^2
= ab^2 + ab^2
= 2ab + 2ab
= 4ab
would you say this equation is solved correctly?
I'm concerned that I might have skipped a step.
Click here to see answer by stanbon(26259)

Question 45514: (3a - 5)^2
=(3a)^2 + 5(3a)(-5)+ (-5)^2
=9^2 - 30a + 25
where in this equation does the 30a come from?
Click here to see answer by adamchapman(301)

Question 45501: add or subract as indicated
5a-12/a^2-8a+15 - 3a-2/a^2-8a+15
Click here to see answer by adamchapman(301)

Question 45510: write each expression in simplest form
4x-28/5x-35
Click here to see answer by jake_6233(74)

Question 45513: (3y - 8)(5y^2 +8y - 2)

Click here to see answer by tutorcecilia(2042)

Question 45513: (3y - 8)(5y^2 +8y - 2)

Click here to see answer by jake_6233(74)

Question 45509: write the fraction in simplest form
-15x^3y^3/-20xy^4
Click here to see answer by tutorcecilia(2042)

Question 45537: 2m^6 n^2/5m^9 n^10
= 2/5m^3 n^8
I understand subtracting the exponents but how did the 2 wind up by itself?
Click here to see answer by Nate(3495)

Question 45580: (-4.8)^x = 1
Click here to see answer by stanbon(26259)

Question 45592: divide:
(a^2 + 5a + 10) divided by (a + 2)
Click here to see answer by Nate(3495)

Question 45639: Factor using trial and error method.

3x² - 17x + 10

Please show all work and solution. Thanks

Click here to see answer by checkley71(8405)

Question 45643: Solve the equation, show all work and answer.
2h² - h – 3 = 0

Thanks

Click here to see answer by checkley71(8405)

Question 45645: Solve each equation with repeated factor or three solutions. Show all work and solution.

m³ + 2m² -3m = 0

Thanks.
Click here to see answer by Nate(3495)

Question 45655: Solve each equation with repeated factor or three solutions. Please show all work and all solutions.

m³ + 2m² -3m = 0

Click here to see answer by Nate(3495)

Question 45676: (5x-1)^2
=(5x-1)(5x-1)
=25x^2

the answer is 25x^2-10x+1 but I don't see the order of operation
Click here to see answer by tutorcecilia(2042)

Question 45777: Factor the trinomial completely

Click here to see answer by tutorcecilia(2042)

Question 45776: Factor the trinomial completely.

Click here to see answer by Fermat(127)

Question 45880: Factor the polynomial completely.

Click here to see answer by checkley71(8405)

Question 45879: Factor the polynomial completely.

Click here to see answer by checkley71(8405)

Question 45879: Factor the polynomial completely.

Click here to see answer by Nate(3495)

Question 45877: Factor the polynomial completely.

Click here to see answer by Nate(3495)

Question 45775: Factor the trinominal completely

Click here to see answer by checkley71(8405)

Question 45878: Factor the polynomial completely.

Click here to see answer by Earlsdon(4898)

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