What is factor x^3+7x^2+16x+112 ?

The solution to factor x^3+7x^2+16x+112 is (x+7)(x^2+16)

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factor x^3+7x^2+16x+112

factor

x^{3} + 7 x^{2} + 16 x + 112

(x + 7) (x^{2} + 16)

Solution steps

x^{3} + 7 x^{2} + 16 x + 112

= (x^{3} + 7 x^{2}) + (16 x + 112)

Factor out

x^{2}

from

x^{3} + 7 x^{2} : x^{2} (x + 7)

Factor out

16

from

16 x + 112 : 16 (x + 7)

= x^{2} (x + 7) + 16 (x + 7)

Factor out common term

x + 7

= (x + 7) (x^{2} + 16)

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What is factor x^3+7x^2+16x+112 ?
The solution to factor x^3+7x^2+16x+112 is (x+7)(x^2+16)