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

Pikkvile asked Jan 13, 2023

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Pikkvile asked Jan 13, 2023

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20 votes

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.

Beth Lang answered Jan 19, 2023

2.9k points

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