What is factor 3p^2-7p-40 ?

The solution to factor 3p^2-7p-40 is (3p+8)(p-5)

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factor 3p^2-7p-40

factor

3 p^{2} - 7 p - 40

(3 p + 8) (p - 5)

Solution steps

3 p^{2} - 7 p - 40

Break the expression into groups

= (3 p^{2} + 8 p) + (- 15 p - 40)

Factor out

p

from

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

Factor out

- 5

from

- 15 p - 40 : - 5 (3 p + 8)

= p (3 p + 8) - 5 (3 p + 8)

Factor out common term

3 p + 8

= (3 p + 8) (p - 5)

8 = 8 v - 4 (v + 8)

b^{2} + 2 b - 35

∣ x - 2 ∣ < \frac{3}{2}

129 6^{\frac{1}{4}}

7 u = 48