What is factor x^3-3x^2+7x-21 ?

The solution to factor x^3-3x^2+7x-21 is (x-3)(x^2+7)

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factor x^3-3x^2+7x-21

factor

x^{3} - 3 x^{2} + 7 x - 21

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

Solution steps

x^{3} - 3 x^{2} + 7 x - 21

= (x^{3} - 3 x^{2}) + (7 x - 21)

Factor out

x^{2}

from

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

Factor out

7

from

7 x - 21 : 7 (x - 3)

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

Factor out common term

x - 3

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

\frac{2 x ^{3}}{x ^{3}}

(- x^{2} - x - 4) (3 x^{2} + x - 4)

\frac{1}{3} - \frac{4}{9}

x^{2} + 5 x + 2 x + 10

6 x - 15 x

What is factor x^3-3x^2+7x-21 ?
The solution to factor x^3-3x^2+7x-21 is (x-3)(x^2+7)