What is factor x^2+20x+51 ?

The solution to factor x^2+20x+51 is (x+3)(x+17)

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factor x^2+20x+51

factor

x^{2} + 20 x + 51

(x + 3) (x + 17)

Solution steps

x^{2} + 20 x + 51

Break the expression into groups

= (x^{2} + 3 x) + (17 x + 51)

Factor out

x

from

x^{2} + 3 x : x (x + 3)

Factor out

17

from

17 x + 51 : 17 (x + 3)

= x (x + 3) + 17 (x + 3)

Factor out common term

x + 3

= (x + 3) (x + 17)

x^{2} + 5 x \leq 0

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0 = x^{2} + 3 x - 10