What is factor 3x^2+4x-7 ?

The solution to factor 3x^2+4x-7 is (x-1)(3x+7)

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factor 3x^2+4x-7

factor

3 x^{2} + 4 x - 7

(x - 1) (3 x + 7)

Solution steps

3 x^{2} + 4 x - 7

Break the expression into groups

= (3 x^{2} - 3 x) + (7 x - 7)

Factor out

3 x

from

3 x^{2} - 3 x : 3 x (x - 1)

Factor out

7

from

7 x - 7 : 7 (x - 1)

= 3 x (x - 1) + 7 (x - 1)

Factor out common term

x - 1

= (x - 1) (3 x + 7)

\frac{2 x}{5} + 1 = \frac{3 x + 1}{2}

7 (x + 9) = 4 (x - 8)

\frac{8}{2} (1 + 3)

x^{3} + 2 x^{2} - 6 x - 4

\frac{3 x - 3}{x ^{2} - 1}