Factor completely.

p^2+7p+10

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Factor completely.

x^2-12x+35

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Factor completely.

w^2+2w-24

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Problem #1.

Ask, which two numbers add up to 7 and multiply to 10?

2 and 5

Rewrite the expression using the above;

(p + 2) (p + 5)

Problem #2.

Which two numbers add up to - 12 and multiply to 35?

-7 and - 5

Rewrite the expression using the above

(x - 7) (x - 5)

Problem #3.

Which two numbers add up to 2 and multiply to - 24?

-4 and 6

Rewrite the expression using the above.

(w - 4) (w + 6)