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

The solution to factor 2x^3+x^2-14x-7 is (2x+1)(x^2-7)

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

factor

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

(2 x + 1) (x^{2} - 7)

Solution steps

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

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

Factor out

x^{2}

from

2 x^{3} + x^{2} : x^{2} (2 x + 1)

Factor out

- 7

from

- 14 x - 7 : - 7 (2 x + 1)

= x^{2} (2 x + 1) - 7 (2 x + 1)

Factor out common term

2 x + 1

= (2 x + 1) (x^{2} - 7)

3^{2 - 1}

(2 x - 1) (3 x - 2)

\frac{m ^{2} - n ^{2}}{m + n}

(4 - x) (3 - x)

m^{2} + 7 m + 6

What is factor 2x^3+x^2-14x-7 ?
The solution to factor 2x^3+x^2-14x-7 is (2x+1)(x^2-7)