What is factor p^2+7p+10 ?

The solution to factor p^2+7p+10 is (p+2)(p+5)

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factor p^2+7p+10

factor

p^{2} + 7 p + 10

(p + 2) (p + 5)

Solution steps

p^{2} + 7 p + 10

Break the expression into groups

= (p^{2} + 2 p) + (5 p + 10)

Factor out

p

from

p^{2} + 2 p : p (p + 2)

Factor out

5

from

5 p + 10 : 5 (p + 2)

= p (p + 2) + 5 (p + 2)

Factor out common term

p + 2

= (p + 2) (p + 5)

∣ x - 12 ∣ > 24

3 = \frac{1}{3} (10 x - 12)

2 (x + 4) - 4 (1 - 2 x) = 0

51 2^{\frac{1}{3}}

\frac{1}{6} < x - \frac{11}{12} < 6