Find the missing factor x^2-7x-18 = (x-9)

Question

Brayden Curry

Mathematics

30 September, 12:48

Find the missing factor x^2-7x-18 = (x-9)

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Answers (1)

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Joslyn Small · Answer 1

To factor the polynomial x² - 7x - 18, find two numbers whose sum is - 7 and whose product is - 18. Begin listing factors of - 18, and those numbers' sums.

-2 * 9 = - 18; - 2 + 9 = 7

-9 * 2 = - 18; - 9 + 2 = - 7

The two numbers are - 9 and 2.

The factored polynomial is (x - 9) (x + 2)

Answer:

The missing factor is (x + 2)