Question

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

Answer 1

Minus the functions
(p-q)(x)=p(x)-q(x)
p(x)=$x^2-1$
q(x)=5(x-1)

p(x)-q(x)=$x^2-1$-5(x-1)
p(x)-q(x)=$x^2-1$-5x+5
p(x)-q(x)=$x^2-5x+4$
(p-q)(x)=$x^2-5x+4$
or factored
(p-q)(x)=(x-4)(x-1)