Question

If p(x) = x^2 – 1 and q(x) = 5(x-1), which expression is equivalent to (p – q)(x)?
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Answer 1

x² - 5x + 4

Explanation:

note (p - q)(x) = p(x) - q(x) , thus

p(x) - q(x)

=x² - 1 - 5(x - 1) ← distribute parenthesis

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

= x² - 5x + 4

Answer 2

x^2 - 5x - 6