Question

How do you evaluate `(x ^ { 2} + 4x + 3) ( 2x ^ { 2} - 9x + 7)`?

Answer 1

`2x^4-x^3-23x^2+x+21`

Explanation:

The idea behind multiply any two polynomials is to multiply each term in one polynomial with every term in the other polynomial. Let's see this in action:

`(x^2+4x+3)*(2x^2-9x+7)`

`=x^2*(2x^2-9x+7)+4x*(2x^2-9x+7)+3*(2x^2-9x+7)`

`=2x^4-9x^3+7x^2+8x^3-36x^2+28x+6x^2-27x+21`

`=2x^4-x^3-23x^2+x+21`

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