What is factor x^2+10x+24 ?

The solution to factor x^2+10x+24 is (x+4)(x+6)

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factor x^2+10x+24

factor

x^{2} + 10 x + 24

(x + 4) (x + 6)

Solution steps

x^{2} + 10 x + 24

Break the expression into groups

= (x^{2} + 4 x) + (6 x + 24)

Factor out

x

from

x^{2} + 4 x : x (x + 4)

Factor out

6

from

6 x + 24 : 6 (x + 4)

= x (x + 4) + 6 (x + 4)

Factor out common term

x + 4

= (x + 4) (x + 6)

x^{2} + 4 x - 5

x^{2} - 5 x - 6

(k + 1)^{3}

(x + 1) (x + 1)

x^{2} - 6 x - 16