SOLUTION: Hello all, I am asking for someone to please check this problem for me. I think I have done the steps right, but because this is my weakest subject, I am second guessing myself...

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Hello all, I am asking for someone to please check this problem for me. I think I have done the steps right, but because this is my weakest subject, I am second guessing myself...       Log On


   



Question 173003: Hello all, I am asking for someone to please check this problem for me. I think I have done the steps right, but because this is my weakest subject, I am second guessing myself...
Multiply out:
(x +6)(x^3 - x^2 - 5x +1)
x.x^3 - x.x^2 - x.5x +1 + 6.x^3 - 6.x^2 - 30x +1 =
x^4 - x^3 - 5x^2 + 8x^3 - 6x^2 - 30x =
8x^3 - 30x
Is this correct?


Found 2 solutions by stanbon, Earlsdon:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Multiply out:
(x +6)(x^3 - x^2 - 5x +1)
x.x^3 - x.x^2 - x.5x +x.1 + 6.x^3 - 6.x^2 - 30x +6.1 =
x^4 - x^3 - 5x^2 + x + 6x^3 - 6x^2 - 30x + 6 =
x^4 + 5x^3 - 11x^2 - 29x + 6
===============================
The rule is "every term of x^3 - x^2 -5x +1 must be multiplied
by each term of x + 6
================================
Cheers,
Stan H.

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Thanks for trying...but it's not quite correct!
You got everything right in the first line except that, when you multiply x by 1 you should get x and not just 1, so your first line should read:
Now simplify this:
x%5E4-x%5E3-5x%5E2%2Bx%2B6x%5E3-6x%5E2-30x%2B6 and, combining like-terms, you get...
x%5E4-x%5E3%2B6x%5E3-5x%5E2-6x%5E2%2Bx-30x%2B6 = highlight%28x%5E4%2B5x%5E3-11x%5E2-29x%2B6%29