What is factor w^2+7w+12 ?

The solution to factor w^2+7w+12 is (w+3)(w+4)

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factor w^2+7w+12

factor

w^{2} + 7 w + 12

(w + 3) (w + 4)

Solution steps

w^{2} + 7 w + 12

Break the expression into groups

= (w^{2} + 3 w) + (4 w + 12)

Factor out

w

from

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

Factor out

4

from

4 w + 12 : 4 (w + 3)

= w (w + 3) + 4 (w + 3)

Factor out common term

w + 3

= (w + 3) (w + 4)

\frac{3}{6 7}

x^{4} - 20 x^{2} + 64

t^{2} + 6 t + 4 = 0

∣ 5 x + 3 ∣ \geq - 2

- 9 < \frac{3 w}{8}