What is factor 3w^2-11w-42 ?

The solution to factor 3w^2-11w-42 is (3w+7)(w-6)

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factor 3w^2-11w-42

factor

3 w^{2} - 11 w - 42

(3 w + 7) (w - 6)

Solution steps

3 w^{2} - 11 w - 42

Break the expression into groups

= (3 w^{2} + 7 w) + (- 18 w - 42)

Factor out

w

from

3 w^{2} + 7 w : w (3 w + 7)

Factor out

- 6

from

- 18 w - 42 : - 6 (3 w + 7)

= w (3 w + 7) - 6 (3 w + 7)

Factor out common term

3 w + 7

= (3 w + 7) (w - 6)

3 x^{2} + 24 x + 56 = 0

r^{2} + 36 = 0

x^{2} + 0 x - 1 = 0

2 \cdot 72

2 (x + 4) = 30