What is factor x^2+17x+72 ?

The solution to factor x^2+17x+72 is (x+8)(x+9)

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factor x^2+17x+72

factor

x^{2} + 17 x + 72

(x + 8) (x + 9)

Solution steps

x^{2} + 17 x + 72

Break the expression into groups

= (x^{2} + 8 x) + (9 x + 72)

Factor out

x

from

x^{2} + 8 x : x (x + 8)

Factor out

9

from

9 x + 72 : 9 (x + 8)

= x (x + 8) + 9 (x + 8)

Factor out common term

x + 8

= (x + 8) (x + 9)

6 \div 1 \frac{1}{2}

\frac{6}{5}

\frac{8 ^{5}}{5}

\frac{4}{5} \times \frac{5}{4}

\frac{1}{\frac{2}{2}}