What is factor 4x^2+19x+21 ?

The solution to factor 4x^2+19x+21 is (4x+7)(x+3)

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factor 4x^2+19x+21

factor

4 x^{2} + 19 x + 21

(4 x + 7) (x + 3)

Solution steps

4 x^{2} + 19 x + 21

Break the expression into groups

= (4 x^{2} + 7 x) + (12 x + 21)

Factor out

x

from

4 x^{2} + 7 x : x (4 x + 7)

Factor out

3

from

12 x + 21 : 3 (4 x + 7)

= x (4 x + 7) + 3 (4 x + 7)

Factor out common term

4 x + 7

= (4 x + 7) (x + 3)

875

4^{\frac{5}{2}}

x^{3} - 7 x^{2} + 10 x < 0

x = x + \frac{x}{3 + 1}

0 \leq x \leq 1