What is factor 5x^2+21x+18 ?

The solution to factor 5x^2+21x+18 is (5x+6)(x+3)

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factor 5x^2+21x+18

factor

5 x^{2} + 21 x + 18

(5 x + 6) (x + 3)

Solution steps

5 x^{2} + 21 x + 18

Break the expression into groups

= (5 x^{2} + 6 x) + (15 x + 18)

Factor out

x

from

5 x^{2} + 6 x : x (5 x + 6)

Factor out

3

from

15 x + 18 : 3 (5 x + 6)

= x (5 x + 6) + 3 (5 x + 6)

Factor out common term

5 x + 6

= (5 x + 6) (x + 3)

19 \times 3

\frac{x - 6}{x - 2} + \frac{7 x}{5 x ^{3}}

2 \times 10

32 \times 2