Question

Can we conclude that (x-5) is a factor of the polynomial x^3+8x^2+11x-20

Answer 1

Answer: No

Explanation:

Let
`f(x)=x^3 +8x^2 +11x-20`.

Then,
`f(5)=5^3 +8(5)^2 +11(5)-20=360`.

Since
`f(5) \\eq 0`,
`(x-5)` is not a factor of
`f(x)` by the factor theorem.