Question

Simplify: (x - 1)(x2 + 10x + 4).

Answer 1

i have one more. please help!

Simplify: (4b + 3) (2b - 5).

Answer 2

To multiply two polynomials together, you need to multiply every term of one polynomial by every term of the other polynomial.
Look at the following example:
(a + b)(c - d + e) = ac - ad + ae + bc - bd + be
After you do that, then combine like terms if possible.

Answer 3

okay

Answer 4

is the second one 8b^2 + 6b + 15?

Answer 5

Let's start with your first problem:
(x - 1)(x2 + 10x + 4):

1. multiply the first term of the first polynomial, x, by every term of the second polynomial:
x * x^2 + x * 10x + x * 4

2. you then follow that by multiplying the second term of the first polynomial by every term of the second ploynomial:
x * x^2 + x * 10x + x * 4 - 1*x^2 - 1 * 10x - 1 * 4
I showed each multiplication you need to do so you can follow. Normally, you'd do all the multiplications in your head, and you would only write the following:
x^3 + 10x^2 + 4x - x^2 - 10x - 4
Now you need to combine like terms. Like terms have the same variable part.
x^3 + 9x^2 - 6x - 4
That is the final result.

Answer 6

thank you so much! is the second one 8b2 + 6b + 15 ?

Answer 7

Let's do the second one now.
Remember you need to multiply every term of the first polynomial by every term of the second polynomial:
(4b + 3) (2b - 5)
4b * 2b + 4b * (-5) + 3 * 2b + 3 * (-5)
8b^2 - 20b + 6b - 15
Combine like terms:
8b^2 - 14b - 15

Answer 8

you're welcome