What is factor 3w^2-17w-28 ?

The solution to factor 3w^2-17w-28 is (3w+4)(w-7)

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factor 3w^2-17w-28

factor

3 w^{2} - 17 w - 28

(3 w + 4) (w - 7)

Solution steps

3 w^{2} - 17 w - 28

Break the expression into groups

= (3 w^{2} + 4 w) + (- 21 w - 28)

Factor out

w

from

3 w^{2} + 4 w : w (3 w + 4)

Factor out

- 7

from

- 21 w - 28 : - 7 (3 w + 4)

= w (3 w + 4) - 7 (3 w + 4)

Factor out common term

3 w + 4

= (3 w + 4) (w - 7)

35 = - 7 a + 14

∣ x - 7 ∣ = 8

x^{2} - 40 x + 400

lo g_{0.2} (x^{2} + 1) \leq lo g_{0.2} (x^{2} + x + 3)

- \frac{2}{3} x^{2} - 1 = 17