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)