What is factor p^2-5p-14 ?

The solution to factor p^2-5p-14 is (p+2)(p-7)

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factor p^2-5p-14

factor

p^{2} - 5 p - 14

(p + 2) (p - 7)

Solution steps

p^{2} - 5 p - 14

Break the expression into groups

= (p^{2} + 2 p) + (- 7 p - 14)

Factor out

p

from

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

Factor out

- 7

from

- 7 p - 14 : - 7 (p + 2)

= p (p + 2) - 7 (p + 2)

Factor out common term

p + 2

= (p + 2) (p - 7)

- 2 x + 4 \geq 16

- 2 (3 - 5 x) = - 66

3 - x = 2 \cdot (5 x - 1)

12 n - 12 = 72

- x + 4 < - 3 x + 6