Question

If p(x) = x +9, and q(x) = 2x² + 3x, find p(2a) - q(a)

Answer 1

p(2a) - q(a) = -2a² + 2a + 9

Explanation:

Given;

p(x) = x + 9 and q(x) = 2x² + 3x,

we can replace 2a and a for p(x) and q(x).

p(2a) = 2a + 9 and q(a) = 2a² + 3a are the substituted values.

Now we can evaluate p(2a) - q(a):

p(2a) - q(a) = (2a + 9) - (2a² + 3a)

= 2a + 9 - 2a² - 3a

= -2a² + 2a + 9

p(2a) - q(a) = -2a² + 2a + 9

Hope this helps!