What is factor 4x^3+7x^2-52x-91 ?

The solution to factor 4x^3+7x^2-52x-91 is (4x+7)(x^2-13)

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factor 4x^3+7x^2-52x-91

factor

4 x^{3} + 7 x^{2} - 52 x - 91

(4 x + 7) (x^{2} - 13)

Solution steps

4 x^{3} + 7 x^{2} - 52 x - 91

= (4 x^{3} + 7 x^{2}) + (- 52 x - 91)

Factor out

x^{2}

from

4 x^{3} + 7 x^{2} : x^{2} (4 x + 7)

Factor out

- 13

from

- 52 x - 91 : - 13 (4 x + 7)

= x^{2} (4 x + 7) - 13 (4 x + 7)

Factor out common term

4 x + 7

= (4 x + 7) (x^{2} - 13)

20 x^{2} - x - 1

36 \cdot 6

270 \cdot \frac{π}{180}

\frac{1}{2} \frac{1}{3}

(3)^{4} \cdot (3)^{3}

What is factor 4x^3+7x^2-52x-91 ?
The solution to factor 4x^3+7x^2-52x-91 is (4x+7)(x^2-13)