Question

if p(x) = 2x^2 – 4x and q(x) = x – 3 what is (p*q)(x)

Answer 1

Work shown above! Answer would be 2x^2 -16x + 30

Answer 2

$(pq)(x) = 2x^3-10x^2+12x$

The given functions are:

$p(x) = 2x^2-4x\\\\q(x) = x - 3$

(pq)(x) = p(x) * q(x)

Please take note that this is not the same as (p 0 q)(x)

$(pq)(x) = (2x^2-4x)(x-3)$

Expand the expression using distribution property

$(pq)(x) = 2x^3-6x^2-4x^2+12x\\\\(pq)(x) = 2x^3-10x^2+12x$

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