What is factor 3x^2+17x+20 ?

The solution to factor 3x^2+17x+20 is (3x+5)(x+4)

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factor 3x^2+17x+20

factor

3 x^{2} + 17 x + 20

(3 x + 5) (x + 4)

Solution steps

3 x^{2} + 17 x + 20

Break the expression into groups

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

Factor out

x

from

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

Factor out

4

from

12 x + 20 : 4 (3 x + 5)

= x (3 x + 5) + 4 (3 x + 5)

Factor out common term

3 x + 5

= (3 x + 5) (x + 4)

3 x^{2} - 6 x - 4 x + 8

3 x = x^{2}

(x^{\frac{3}{5}})^{2}

p^{2} = 8 p + 9

\frac{2 x ^{7} y ^{5}}{4 x ^{8} y ^{2}}