What is factor 3x^2+14x-5 ?

The solution to factor 3x^2+14x-5 is (3x-1)(x+5)

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factor 3x^2+14x-5

factor

3 x^{2} + 14 x - 5

(3 x - 1) (x + 5)

Solution steps

3 x^{2} + 14 x - 5

Break the expression into groups

= (3 x^{2} - x) + (15 x - 5)

Factor out

x

from

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

Factor out

5

from

15 x - 5 : 5 (3 x - 1)

= x (3 x - 1) + 5 (3 x - 1)

Factor out common term

3 x - 1

= (3 x - 1) (x + 5)

12 x^{4} - 9 x^{2}

7 (- 5) - 2 (0) = 13

x^{2} + 12 x + 18 = 0

4 x^{2} - 8 x = 0

20!