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Which is a factor of x2 - 9x + 14?

X-9
x-2
x + 5
X +7


ANSWER
x-2
b

1 Answer

4 votes

Answer:

(x - 2)

Explanation:

Given

x² - 9x + 14

Consider the factors of the constant term (+ 14) which sum to give the coefficient of the x- term (- 9)

The factors are - 2 and - 7, since

- 2 × - 7 = + 14 and - 2 - 7 = - 9, thus

x² - 9x + 14 = (x - 2)(x - 7) ← in factored form

Thus (x - 2) is a factor of the expression

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