What is factor 4x^2+25x-21 ?

The solution to factor 4x^2+25x-21 is (4x-3)(x+7)

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factor 4x^2+25x-21

factor

4 x^{2} + 25 x - 21

(4 x - 3) (x + 7)

Solution steps

4 x^{2} + 25 x - 21

Break the expression into groups

= (4 x^{2} - 3 x) + (28 x - 21)

Factor out

x

from

4 x^{2} - 3 x : x (4 x - 3)

Factor out

7

from

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

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

Factor out common term

4 x - 3

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

4 - - 25

1^{2} + x^{2} = 5^{2}

- 8 x + 3 \geq 27 and - 13 x + 5 \geq 57

\frac{x ^{2} - 5 x}{9 - 2 x} < 0

- 9 < 2 x - 1 \leq 7