Answer:
(p*q)(x) = 2x² - 16x + 30 .
Step-by-step explanation:
Given : If p(x) = 2x² – 4x and q(x) = x – 3.
To find : what is (p*q)(x)
Solution : We have given p(x) = 2x² – 4x and q(x) = x – 3.
(p*q)(x)
p(x) = 2x² – 4x
(p*q)(x) = 2( x -3)² – 4(x -3).
(p*q)(x) = 2 ( x² + 9 - 6x ) - 4x + 12 .
(p*q)(x) = 2x² + 18 - 12x - 4x + 12 .
(p*q)(x) = 2x² - 16x + 30 .
Therefore, (p*q)(x) = 2x² - 16x + 30 .
