What is factor 3y^2-4y-7 ?

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

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factor 3y^2-4y-7

factor

3 y^{2} - 4 y - 7

(y + 1) (3 y - 7)

Solution steps

3 y^{2} - 4 y - 7

Break the expression into groups

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

Factor out

3 y

from

3 y^{2} + 3 y : 3 y (y + 1)

Factor out

- 7

from

- 7 y - 7 : - 7 (y + 1)

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

Factor out common term

y + 1

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

4 (w + 1) + w = 5 (w - 1) + 9

n^{2} - 8 n + 16 = 25

2 x + 2 \leq - 4

4 x - 1 = 11

x^{2} - 15 x = - 54