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

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

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factor 3x^2+x-4

factor

3 x^{2} + x - 4

(x - 1) (3 x + 4)

Solution steps

3 x^{2} + x - 4

Break the expression into groups

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

Factor out

3 x

from

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

Factor out

4

from

4 x - 4 : 4 (x - 1)

= 3 x (x - 1) + 4 (x - 1)

Factor out common term

x - 1

= (x - 1) (3 x + 4)

(23)^{2}

3 x^{3} + 5 x^{2} + 9 x + 15

2 (2^{k} - 1) + 2^{k + 1}

4 x^{2} + 12 x + 9 = 4

9 x = 0