What is factor 2x^2+13x+21 ?

The solution to factor 2x^2+13x+21 is (x+3)(2x+7)

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factor 2x^2+13x+21

factor

2 x^{2} + 13 x + 21

(x + 3) (2 x + 7)

Solution steps

2 x^{2} + 13 x + 21

Break the expression into groups

= (2 x^{2} + 6 x) + (7 x + 21)

Factor out

2 x

from

2 x^{2} + 6 x : 2 x (x + 3)

Factor out

7

from

7 x + 21 : 7 (x + 3)

= 2 x (x + 3) + 7 (x + 3)

Factor out common term

x + 3

= (x + 3) (2 x + 7)

19 \times 8

- 1 0^{5}

\frac{5}{7} + \frac{1}{4}

4 i (6 + 3 i)

\frac{x ^{2} + x - 12}{x ^{2} - x - 6}