What is factor 3p^2+14p-24 ?

The solution to factor 3p^2+14p-24 is (3p-4)(p+6)

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factor 3p^2+14p-24

factor

3 p^{2} + 14 p - 24

(3 p - 4) (p + 6)

Solution steps

3 p^{2} + 14 p - 24

Break the expression into groups

= (3 p^{2} - 4 p) + (18 p - 24)

Factor out

p

from

3 p^{2} - 4 p : p (3 p - 4)

Factor out

6

from

18 p - 24 : 6 (3 p - 4)

= p (3 p - 4) + 6 (3 p - 4)

Factor out common term

3 p - 4

= (3 p - 4) (p + 6)

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

2 x - \frac{1}{2} \geq 7 x + \frac{7}{6}

\frac{4}{9} - \frac{5}{8} (\frac{1}{3})^{2}

∣ x - 3 ∣ = - 2

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