What is factor 4x^2+21x+5 ?

The solution to factor 4x^2+21x+5 is (4x+1)(x+5)

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factor 4x^2+21x+5

factor

4 x^{2} + 21 x + 5

(4 x + 1) (x + 5)

Solution steps

4 x^{2} + 21 x + 5

Break the expression into groups

= (4 x^{2} + x) + (20 x + 5)

Factor out

x

from

4 x^{2} + x : x (4 x + 1)

Factor out

5

from

20 x + 5 : 5 (4 x + 1)

= x (4 x + 1) + 5 (4 x + 1)

Factor out common term

4 x + 1

= (4 x + 1) (x + 5)

\frac{72}{2}

\frac{x y ^{2}}{2} \cdot \frac{6 x}{y ^{2}}

3^{2} + 9^{2}

\frac{x - 2}{5} + 8 = 11