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

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

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factor 4r^2+21r+5

factor

4 r^{2} + 21 r + 5

(4 r + 1) (r + 5)

Solution steps

4 r^{2} + 21 r + 5

Break the expression into groups

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

Factor out

r

from

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

Factor out

5

from

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

= r (4 r + 1) + 5 (4 r + 1)

Factor out common term

4 r + 1

= (4 r + 1) (r + 5)

2 x + 1 - 7 x + 1 = - 2 x + 1 + 7 x

- x^{2} + 49 > 0

\frac{y - 1}{y} < \frac{y}{y + 1}

- 3 x < 18

2 ∣ x + 3 ∣ - 4 \geq 6