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)

d^{2} - 14 d + 45

3 (3)^{2}

r^{2} - 2 r - 35

4 u^{2} + 28 u + 49

2 (h + 2) + 7 = - 3