What is factor 3p^3+5p^2-12p-20 ?

The solution to factor 3p^3+5p^2-12p-20 is (3p+5)(p+2)(p-2)

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factor 3p^3+5p^2-12p-20

factor

3 p^{3} + 5 p^{2} - 12 p - 20

(3 p + 5) (p + 2) (p - 2)

Solution steps

3 p^{3} + 5 p^{2} - 12 p - 20

= (3 p^{3} + 5 p^{2}) + (- 12 p - 20)

Factor out

p^{2}

from

3 p^{3} + 5 p^{2} : p^{2} (3 p + 5)

Factor out

- 4

from

- 12 p - 20 : - 4 (3 p + 5)

= p^{2} (3 p + 5) - 4 (3 p + 5)

Factor out common term

3 p + 5

= (3 p + 5) (p^{2} - 4)

Factor

p^{2} - 4 : (p + 2) (p - 2)

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

(\frac{5 x ^{6} y ^{2}}{10 x ^{4} y})^{2}

x^{2} = 6 x - 18

- 3 r < 33

4 - 2 x < 3 x + 1 \leq 7

- 3 x^{2} + 12 x + 1 = 0

What is factor 3p^3+5p^2-12p-20 ?
The solution to factor 3p^3+5p^2-12p-20 is (3p+5)(p+2)(p-2)