If a polynomial function f (x) has roots 1+√2 and - 3, what must be a factor of f (x) ?

Question

Holly Farmer

Mathematics

10 September, 03:41

If a polynomial function f (x) has roots 1+√2 and - 3, what must be a factor of f (x) ?

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Answers (1)

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Dean Howell · Answer 1

If it has a root at - 3, we know that (x + 3) is a guaranteed root, because to a root from a factor, you simply set the expression inside the parentheses equal to zero and solve for x.

(x + 3) = 0

x = - 3

We do the same thing but in vice versa to find the factor.

x = - 3

x + 3

Thus, the factor is (x + 3)