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

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

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factor 8x^2-2x-21

factor

8 x^{2} - 2 x - 21

(2 x + 3) (4 x - 7)

Solution steps

8 x^{2} - 2 x - 21

Break the expression into groups

= (8 x^{2} + 12 x) + (- 14 x - 21)

Factor out

4 x

from

8 x^{2} + 12 x : 4 x (2 x + 3)

Factor out

- 7

from

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

= 4 x (2 x + 3) - 7 (2 x + 3)

Factor out common term

2 x + 3

= (2 x + 3) (4 x - 7)

7 (x - 4)^{2}

x^{2} + 7 x - 78

\frac{30}{14}

\frac{3}{7} \times 2 \frac{5}{8}

2 - \frac{2}{3} (3 x + 6)