What is factor 3x^2+16x+21 ?

The solution to factor 3x^2+16x+21 is (3x+7)(x+3)

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factor 3x^2+16x+21

factor

3 x^{2} + 16 x + 21

(3 x + 7) (x + 3)

Solution steps

3 x^{2} + 16 x + 21

Break the expression into groups

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

Factor out

x

from

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

Factor out

3

from

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

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

Factor out common term

3 x + 7

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

2 x^{2} + 2 = 0

11 - 62

\frac{2}{5} (x - 16) = - 6

(4 n^{4} - 8 n + 4) - (8 n^{2} + 4 n^{4} + 1)

(x - 2)^{2} = 45