What is factor x^3-2x^2+7x-14 ?

The solution to factor x^3-2x^2+7x-14 is (x-2)(x^2+7)

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factor x^3-2x^2+7x-14

factor

x^{3} - 2 x^{2} + 7 x - 14

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

Solution steps

x^{3} - 2 x^{2} + 7 x - 14

= (x^{3} - 2 x^{2}) + (7 x - 14)

Factor out

x^{2}

from

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

Factor out

7

from

7 x - 14 : 7 (x - 2)

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

Factor out common term

x - 2

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

72 x^{2} - 12 x - 24

(3^{2})^{3}

\frac{1}{1 + \frac{3}{4}}

\frac{- 15 x ^{5} y ^{4}}{45 x y ^{3}}

\frac{3}{5} x + 22 = 28

What is factor x^3-2x^2+7x-14 ?
The solution to factor x^3-2x^2+7x-14 is (x-2)(x^2+7)