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Can we conclude that x - 5 is a factor of the polynomialHow do you know?

Can we conclude that x - 5 is a factor of the polynomialHow do you know?-example-1
User AMT
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Answer:

Recall that:

x-a is a factor of a polynomial p(x) if and only if p(a)=0.

Evaluating the given polynomial at x=5 we get:


5^3-5^2-17\cdot5-15=125-25-85-15=0.

Therefore x-5 is a factor of the polynomial x³-x²-17x-15.

User Rohit Khandelwal
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