What is factor-2x^2-11x-15 ?

The solution to factor-2x^2-11x-15 is -(2x+5)(x+3)

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factor-2x^2-11x-15

factor

- 2 x^{2} - 11 x - 15

- (2 x + 5) (x + 3)

Solution steps

- 2 x^{2} - 11 x - 15

Break the expression into groups

= (- 2 x^{2} - 5 x) + (- 6 x - 15)

Factor out

- x

from

- 2 x^{2} - 5 x : - x (2 x + 5)

Factor out

- 3

from

- 6 x - 15 : - 3 (2 x + 5)

= - x (2 x + 5) - 3 (2 x + 5)

Factor out common term

2 x + 5

= (2 x + 5) (- x - 3)

Factor

- x - 3 : - (x + 3)

= (2 x + 5) (- (x + 3))

Apply rule:

a (- b) = - ab

(2 x + 5) (- (x + 3)) = - (2 x + 5) (x + 3)

= - (2 x + 5) (x + 3)

w^{2} = 7 (w - 6)

- 3 t + 9 \geq - 21

7 x^{2} y - 27 x y^{2} + 18 y^{3}

r^{2} - 2 r + 2 = 0

(3 u - 5) (8 + u) = 0