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

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

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factor 5x^2+21x+4

factor

5 x^{2} + 21 x + 4

(5 x + 1) (x + 4)

Solution steps

5 x^{2} + 21 x + 4

Break the expression into groups

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

Factor out

x

from

5 x^{2} + x : x (5 x + 1)

Factor out

4

from

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

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

Factor out common term

5 x + 1

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

\frac{5 x + 2}{7 x} \cdot + 2 x

2 \cdot 2 \cdot 2 \cdot 2 \cdot 2

14 \times 7

\frac{4 + 5 i}{5 - 4 i}

57 + 1400