What is factor 3r^2+5r-2 ?

The solution to factor 3r^2+5r-2 is (3r-1)(r+2)

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factor 3r^2+5r-2

factor

3 r^{2} + 5 r - 2

(3 r - 1) (r + 2)

Solution steps

3 r^{2} + 5 r - 2

Break the expression into groups

= (3 r^{2} - r) + (6 r - 2)

Factor out

r

from

3 r^{2} - r : r (3 r - 1)

Factor out

2

from

6 r - 2 : 2 (3 r - 1)

= r (3 r - 1) + 2 (3 r - 1)

Factor out common term

3 r - 1

= (3 r - 1) (r + 2)

6 x^{2} + 13 x + 5

\frac{x ^{2}}{4} < 1

∣ a ∣ = 3

\frac{x - 1}{x + 5} \leq 0

\frac{x}{5} = 1 + \frac{x + 4}{2}