Question

Simplify the following polynomial expression. (5x^4 - 9x^3 + 7x - 1) + (-8x^4 + 4x^2 - 3x + 2) - ( -4x^3 + 5x - 1)( 2x - 7)

Answer 1

5x^4-37x^3-6x^2+41x-6

Explanation:

Answer 2

Answer:
`5x^(4)-37x^(3)-6x^(2) +41x-6`

Explanation:

1. You must apply the Distributive property. You need to remember the product property of exponents: If you multiply powers with the same base, you must add the exponents. Them you have:

`=5x^(4)-9x^(3)+7x-1-8x^(4)+4x^(2)-3x+2-(8x^(4)+28x^(3)+10x^(2)-35x-2x+7)\\=5x^(4)-9x^(3)+7x-1-8x^(4)+4x^(2)-3x+2-8x^(4)-28x^(3)-10x^(2)+35x+2x-7`

2. Now, you must add the like terms. Then, you obtain the following result:

`=5x^(4)-37x^(3)-6x^(2) +41x-6`