What is factor 2x^2+21x+49 ?

The solution to factor 2x^2+21x+49 is (2x+7)(x+7)

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factor 2x^2+21x+49

factor

2 x^{2} + 21 x + 49

(2 x + 7) (x + 7)

Solution steps

2 x^{2} + 21 x + 49

Break the expression into groups

= (2 x^{2} + 7 x) + (14 x + 49)

Factor out

x

from

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

Factor out

7

from

14 x + 49 : 7 (2 x + 7)

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

Factor out common term

2 x + 7

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

- 3 x^{2} + 2 x

14 \times 9

\frac{5}{6} \times \frac{3}{4}

4 \times 11

4 \times 21