If p(x) = 2x² - 4x and q(x) = x - 3, what is (p•q)(x)

Solution:

It is given that

p(x) = 2x² - 4x

q(x) = x - 3

We have to find (p•q)(x)

(p•q)(x) = p(x) . q(x)

Substituting the values

= (2x² - 4x) (x - 3)

Using the distributive property

= 2x³ - 6x² - 4x² + 12x

= 2x³ - 10x² + 12x

Therefore, (p•q)(x) = 2x³ - 10x² + 12x.

If p(x) = 2x² - 4x and q(x) = x - 3, what is (p•q)(x)

Summary:

If p(x) = 2x² - 4x and q(x) = x - 3, (p•q)(x) = 2x³ - 10x² + 12x.