What is factor 3x^2-x-24 ?

The solution to factor 3x^2-x-24 is (3x+8)(x-3)

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factor 3x^2-x-24

factor

3 x^{2} - x - 24

(3 x + 8) (x - 3)

Solution steps

3 x^{2} - x - 24

Break the expression into groups

= (3 x^{2} + 8 x) + (- 9 x - 24)

Factor out

x

from

3 x^{2} + 8 x : x (3 x + 8)

Factor out

- 3

from

- 9 x - 24 : - 3 (3 x + 8)

= x (3 x + 8) - 3 (3 x + 8)

Factor out common term

3 x + 8

= (3 x + 8) (x - 3)

(x + 1) 2 - 9 (x + 1) + 20 = 0

(\frac{4}{5})^{- 2}

3 x + 7 = 28

- 2 x + 3 = - x + 12

x^{2} + 3 x + x y + 3 y