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Factorsie x squared + 5x-14

2 Answers

5 votes

Answer: (x+7)(x-2)

We're looking for two numbers that multiply to -14 and also add to 5. Through trial and error, you should find those numbers are 7 and -2.

You can use the FOIL rule to confirm that (x+7)(x-2) expands out to x^2+5x-14

(x+7)(x-2) = x^2-2x+7x-14 = x^2+5x-14

User Paul Duer
by
5.8k points
3 votes

Answer:

(x+7)(x-2)

Explanation:

=x^2+5x-14

=x^2+(7-2)x-14

=x^2+7x-2x-14

=x(x+7)-2(x+7)

=(x+7)(x-2)

User Shana
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5.3k points