What is factor-3p^2-10p-3 ?

The solution to factor-3p^2-10p-3 is -(3p+1)(p+3)

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factor-3p^2-10p-3

factor

- 3 p^{2} - 10 p - 3

- (3 p + 1) (p + 3)

Solution steps

- 3 p^{2} - 10 p - 3

Break the expression into groups

= (- 3 p^{2} - p) + (- 9 p - 3)

Factor out

- p

from

- 3 p^{2} - p : - p (3 p + 1)

Factor out

- 3

from

- 9 p - 3 : - 3 (3 p + 1)

= - p (3 p + 1) - 3 (3 p + 1)

Factor out common term

3 p + 1

= (3 p + 1) (- p - 3)

Factor

- p - 3 : - (p + 3)

= (3 p + 1) (- (p + 3))

Apply rule:

a (- b) = - ab

(3 p + 1) (- (p + 3)) = - (3 p + 1) (p + 3)

= - (3 p + 1) (p + 3)

5 (10 - 3)

- 40 (\frac{2 ( 10 b + 23 )}{25}) + 48 b = 17.6

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

2 - x < 3 x + 1 < 10 x

8 y^{3} - 27