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

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 Algebra: Polynomials, rational expressions and equations Solvers Lessons Answers archive Quiz In Depth

 Question 405384: factor each polynomial, if possible. if the polynomial cannot be factored, write prime. 4-28r+49r squared Click here to see answer by josmiceli(9645)

 Question 405513: what is the factor of 10y^3+5y^2-15y I just can't get this one Click here to see answer by Tatiana_Stebko(1326)

 Question 405542: Ok, I'm working on factoring completely. Here is my equation to factor: -4n^4 + 40n^3 - 100n^2 that equals = -4n^2 (n^2 - 10n + 25) and I'm supposed to factor it down more so that the answer is -4n^2(n - 5)^2 I get it all until the last step. How and Why am I supposed to do that? Mucho thanks for any help! Click here to see answer by ewatrrr(10682)
 Question 405542: Ok, I'm working on factoring completely. Here is my equation to factor: -4n^4 + 40n^3 - 100n^2 that equals = -4n^2 (n^2 - 10n + 25) and I'm supposed to factor it down more so that the answer is -4n^2(n - 5)^2 I get it all until the last step. How and Why am I supposed to do that? Mucho thanks for any help! Click here to see answer by jim_thompson5910(28476)

 Question 405604: what is the distance around the rectangle if the length is 3x^2+6x-10 and the width is 3x+5? Click here to see answer by ewatrrr(10682)

 Question 405728: how do you write 2xy^2+n^2y^4-2x^3+y^3 in the descending order of x? note: ^ is "the power of" so x^2 x to the power of 2 Click here to see answer by stanbon(57203)

 Question 405782: using college math - quadratic equations - i factored this out like this: 3x^2+5x-12=0 (3x+4) (x-3) -4 +3 x= -4 x=3 1)now i need to use the form x^2 = k, then = +- sqrt k how do i do that? The only example i have is this, but i don't understand where they got the 6 and the 2 from. x^2=72 x=+-sqrt72 x = +-6sqrt2 How do i use the x^2=k for 3x^2+5x-12=0 Click here to see answer by stanbon(57203)

 Question 405830: college algebra - factoring quadratic quations i want to make sure i have my signs correct at the end x^2-4-12=0 (x-2) (x-6) x-2=0 x-6=0 +2 +2 +6 +6 x=2 x=6 Can i have both answers positive? Click here to see answer by stanbon(57203)

 Question 405860: college algebra - completing the square would you help me finish this? I wasn't sure what factors to pick out from 196 so I choose 4 times 49. How do I choose what to use? x^2-10x+24=0 x=-10+-sqrt((-10)^2-4(1)(24))/2(1)) x=10 +- sqrt((100-(-96))/2) x=10 +-sqrt((196)/(2) 2sqrt(4(49))/2)) sqrt(2^2(49))/(2) 2+-sqrt49/2 2(1+-sqrt49/2) 1sqrt49 x=1sqrt49 right? Click here to see answer by josmiceli(9645)
 Question 405860: college algebra - completing the square would you help me finish this? I wasn't sure what factors to pick out from 196 so I choose 4 times 49. How do I choose what to use? x^2-10x+24=0 x=-10+-sqrt((-10)^2-4(1)(24))/2(1)) x=10 +- sqrt((100-(-96))/2) x=10 +-sqrt((196)/(2) 2sqrt(4(49))/2)) sqrt(2^2(49))/(2) 2+-sqrt49/2 2(1+-sqrt49/2) 1sqrt49 x=1sqrt49 right? Click here to see answer by emargo19(101)

 Question 406015: The area of a rectangle is three times the area of a square. If the rectangle is 15 inches long, and the width of the rectangle is the same as the length of a side of the square, find the dimensions of both the rectangle and the square. Click here to see answer by Kaloda(2)

 Question 406025: Hi, my math book does not explain the "step by step" procedure so I don't know how to do each step. Would you please explain how you came up with each answer? thank you. x^2+x-20=0 x=-b+-sqrt b(^2-4ac)/(2a) x= x sqrt (x^2-4(1)(20))/(2(1)) x= sqrt (x^2-80)/ (2(1)) Now i am stuck, how to sqrt or factor it Click here to see answer by Tatiana_Stebko(1326)

 Question 406047: The difference of the areas of two squares is 288 square feet. Each side of the larger square is three times the length of a side of the smaller square. Find the length of a side of each square. Click here to see answer by mananth(12269)

 Question 406073: one factor of 3x^3+2x^2+x-6 is x-1 what is the other factor Click here to see answer by ewatrrr(10682)

 Question 406075: 3x^3+2x^2+x-6 is x-1 explain why you can eliminate 3x^2-5x-6 and 3x^3+x^2-3 Click here to see answer by ewatrrr(10682)

 Question 406195: What are the factors of the polynomial: f(x)= x^3-10x^2+29x-20 ? Click here to see answer by stanbon(57203)

 Question 406198: What are the factors to the polynomial: f(x)= x^3+2x^2-13x+10 ? and what are the factors to this polynomial: f(x)= 2x^4+6x^3-2x^2-6x and lastly the factors to this polynomial: |factored (x^2+2x-3) Click here to see answer by ewatrrr(10682)

 Question 406185: I have been trying to solve this rational expression to get the LCD 6m^2/3m+15,2/(m+5)2 factor each denominator 3m+15=3(m+5) (m+5)2=(m+5)2 answer I got=LCD=3(m+5)2 the problem is that the first denominator has to be three terms and I cannot figure out what i'm doing wrong. Click here to see answer by Alan3354(30924)

 Question 406325: what is the greatest common factor of the terms of each polynomial 36w+24 Click here to see answer by Alan3354(30924)

 Question 406466: Could you please verify that I'm doing this correct? Multiply numerator by LCD of xy to get 5y+5x which converts to Flip denominator and multiply Cancel (x+y)'s reduce 5 & 10 Answer? I'm not confident in my work. Your help in reviewing my work and correcting me if needed, showing me where I may be going wrong will help. Thanks for your time! Click here to see answer by Alan3354(30924)

 Question 406513: trying to help my daughter with these two (Part II) Matthew's grandmother left him \$10,000 for college. Matthew puts some of the money into a savings account earning 3% interest per year. With the rest, he buys a certificate of deposit earning 5% per year. If matthew puts \$300.00 in savings, how much money will he have in one year? (Write the Equation) Thanks again, Click here to see answer by mananth(12269)

 Question 406505: factor each polynomial, if possible. if the polynomial cannot be factored using integers, write prime x^3-4x^2-9x+36 Click here to see answer by richard1234(5390)

 Question 406574: Is this answer correct (xy)3=xy3 If its not coorrect please inform me what should be done to make it right Click here to see answer by richard1234(5390)

 Question 406593: What is the quotient of n^7 / n^3? Click here to see answer by mananth(12269)

 Question 406679: Hi. I pretty much have the answer for these problems that I worked out just need to know if there right. Thank you all! 16√27 + 7√108 = 90√3 16√9√3 + 7√36√3 16 . 3√3 + 7 . 6√3 (48 +42)√3 90√3; And √600x^4 = √100 . √x^2 . √6 = 10x^2√6 Click here to see answer by ewatrrr(10682)

 Question 406705: hi, would you help me solve a few college algebra problems today? ((-6x)/(7)) = 12 This is a fraction ((-6x/(7) = (12)/(1) multiply both sides by (-6x) (7)/(1) = (72x)/(6x) = 12 is this right? Click here to see answer by nerdybill(6948)

 Question 406706: I have worked this out but am not sure if it is right. Would you please check it? (fractions) (3)/(4)n-(1)/(12)n = 6 (3n)/(4)-(1n)/12) = 6 (12(3n)-4n)/(12) (36n-4n)/(12) (32n)/(12)=32 muliply both sides by 12 (32n)/(32n) = (384)/(32) n = 12 Click here to see answer by ewatrrr(10682)

 Question 406747: hi, i have worked this problem out three different ways and still come up with a decimal answer, so i think it is wrong. would you please check it? (2t+3)/(6)-(t-9)/(4) = 5 i used 12 as the common demoninator and multiplied both side by it 2(2t+3)-3(t-9)=60 4t+6-3t-(27) = 60 37t-3t=60 (like terms) added 34 to both sides (37t)/(37t) = t somewhere i forgot to write out the answer since i rewrote this three times t - 8.4 i am so lost, would you please help me Click here to see answer by ewatrrr(10682)

 Question 406715: would you please help me to understand how to do this problem? I am lost. (3x-1)/(2)+(x-3)/(4)=(1)/(2) (2x)/(2)+(-2x)/(4)=(1)/(2) multipy by 2 on the 1st term, by -2x on 2nd term? x+-2x=(1)/(2) 3x= (1)/(2) Click here to see answer by ewatrrr(10682)

 Question 406710: hi, i know i need to use the distributive property then the addition and division property but the answer seems odd. Would you please take a look at it? 5x-4(x-6)=-11 5x-30=-11 +30 +30 (5x)/(5) = (19)/(5) x = 3.8 Click here to see answer by scott8148(6628)

 Question 406867: I need help in factoring this problem: -9v + u v + x u - 9x? I got (-9 + u)(v + x) and I was wrong. Please help. Thank you. Click here to see answer by scott8148(6628)