X^2– 7x- 18
(Factor the following))

(x - 9)(x + 2)

x = 9 or -2

Step-by-step explanation:

First, we need to find factors of 18 that add up to -7

Factors of 18:

1 and 18

2 and 9

3 and 6

Add/Subtract them to have a total sum of -7

18 - 1 = 17 1 - 18 = -17     (not -7)

9 - 2 = 7 2 - 9 = -7       (sum of -7)

6 - 3 = 3 3 - 6 = -3 .    (not -7)

Hence the numbers that would go in the brackets would be -9 and 2

(x - 9)(x + 2)

x² - 7x - 18

(x-9)(x+2)

Step-by-step explanation:

The first term is the product of two x's being multiplied together. the second term (-7x) is the sum of the two numbers. -18 (the third term)  is the product of those numbers.

Think: what two numbers will add up to -7 and multiply to -18

Those numbers are -9 and 2

Now, this is a quadratic trinomial, and you factor these kinds of equations like this: (x+a)(x+b) (a and b as placeholders for actual numbers)

Now, plug -9 and 2 in

(x-9)(x+2)

Hope this helps!

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