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)

- 7 + (- 10)

- 11 + (- 3)

46 \cdot 3

a \cdot 0

(a + b) (b - a)