Question

Express the product of 2x2 + 6z - 8 and x + 3 in standard form

Answer 1

`2x^3+12x^2+10x-8`

Explanation:

The product is found using the distributive property.

`(x+3)(2x^2+6x-8)\\x*2x^2 + x*6x+x*(-8)=2x^3+6x^2-8x\\\\and\\\\3*2x^2+3*6x+3*(-8)=6x^2+18x-8`

Now combine the two products by adding like terms together.

`2x^3+6x^2-8x + 6x^2+18x-8\\2x^3+12x^2+10x-8`