What is factor 7x^2+24x+9 ?

The solution to factor 7x^2+24x+9 is (7x+3)(x+3)

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factor 7x^2+24x+9

factor

7 x^{2} + 24 x + 9

(7 x + 3) (x + 3)

Solution steps

7 x^{2} + 24 x + 9

Break the expression into groups

= (7 x^{2} + 3 x) + (21 x + 9)

Factor out

x

from

7 x^{2} + 3 x : x (7 x + 3)

Factor out

3

from

21 x + 9 : 3 (7 x + 3)

= x (7 x + 3) + 3 (7 x + 3)

Factor out common term

7 x + 3

= (7 x + 3) (x + 3)

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