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

The solution to factor 3p^2+p-10 is (3p-5)(p+2)

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factor 3p^2+p-10

factor

3 p^{2} + p - 10

(3 p - 5) (p + 2)

Solution steps

3 p^{2} + p - 10

Break the expression into groups

= (3 p^{2} - 5 p) + (6 p - 10)

Factor out

p

from

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

Factor out

2

from

6 p - 10 : 2 (3 p - 5)

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

Factor out common term

3 p - 5

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

x^{3} - 81 x \geq 0

x^{2} - 18 x + 80 < 0

3 x - 9 \leq 12 and 3 x - 9 \geq - 3

5 x^{2} - 17 x + 6 = 0

18 r^{2} - 8