What is factor 4x^2-8x-21 ?

The solution to factor 4x^2-8x-21 is (2x+3)(2x-7)

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factor 4x^2-8x-21

factor

4 x^{2} - 8 x - 21

(2 x + 3) (2 x - 7)

Solution steps

4 x^{2} - 8 x - 21

Break the expression into groups

= (4 x^{2} + 6 x) + (- 14 x - 21)

Factor out

2 x

from

4 x^{2} + 6 x : 2 x (2 x + 3)

Factor out

- 7

from

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

= 2 x (2 x + 3) - 7 (2 x + 3)

Factor out common term

2 x + 3

= (2 x + 3) (2 x - 7)

- \frac{1}{2}

\frac{2 π}{\frac{1}{2}}

\frac{x}{9} = \frac{8}{3}

4 b^{5} + 4 b^{3} + 16 b^{2}

- 10 x \geq - 100