Question

If p(x) = x2 - 1 and q(x) = 5(x-1), which expression is equivalent to (p-q)(x)?

Answer 1

x² - 5x + 4

Explanation:

Note that (p - q)(x) = p(x) - q(x)

p(x) - q(x)

= x² - 1 - 5(x - 1) ← distribute

= x² - 1 - 5x + 5 ← collect like terms

= x² - 5x + 4