What is factor 8x^2-22x-21 ?

The solution to factor 8x^2-22x-21 is (4x+3)(2x-7)

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factor 8x^2-22x-21

factor

8 x^{2} - 22 x - 21

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

Solution steps

8 x^{2} - 22 x - 21

Break the expression into groups

= (8 x^{2} + 6 x) + (- 28 x - 21)

Factor out

2 x

from

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

Factor out

- 7

from

- 28 x - 21 : - 7 (4 x + 3)

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

Factor out common term

4 x + 3

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

(x^{4})^{\frac{1}{2}}

2 x^{2} - 9 x + 9 = 0

4 x^{2} + 80 = 0

21 b - 15 a

\frac{n + 1}{2 n - 1} \leq \frac{n + 2}{2 n + 1}