What is factor 2x^3+3x^2-14x-21 ?

The solution to factor 2x^3+3x^2-14x-21 is (2x+3)(x^2-7)

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factor 2x^3+3x^2-14x-21

factor

2 x^{3} + 3 x^{2} - 14 x - 21

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

Solution steps

2 x^{3} + 3 x^{2} - 14 x - 21

= (2 x^{3} + 3 x^{2}) + (- 14 x - 21)

Factor out

x^{2}

from

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

Factor out

- 7

from

- 14 x - 21 : - 7 (2 x + 3)

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

Factor out common term

2 x + 3

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

x^{2} - 5 x + \frac{25}{4}

- \frac{3}{4} = \frac{x}{24}

- 9 = z + 22

\frac{( 8 ^{6} ) ( 8 ^{- 3} ) ( 4 ^{- 2} )}{2}

\frac{10}{6} + \frac{3}{8} + \frac{4}{9}

What is factor 2x^3+3x^2-14x-21 ?
The solution to factor 2x^3+3x^2-14x-21 is (2x+3)(x^2-7)