What is factor 4a^2-a-5 ?

The solution to factor 4a^2-a-5 is (a+1)(4a-5)

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factor 4a^2-a-5

factor

4 a^{2} - a - 5

(a + 1) (4 a - 5)

Solution steps

4 a^{2} - a - 5

Break the expression into groups

= (4 a^{2} + 4 a) + (- 5 a - 5)

Factor out

4 a

from

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

Factor out

- 5

from

- 5 a - 5 : - 5 (a + 1)

= 4 a (a + 1) - 5 (a + 1)

Factor out common term

a + 1

= (a + 1) (4 a - 5)

(5 x + 2) (x + 1) = 1

3 (3)

(x - 1)^{2} = 25

- 5 \geq \frac{5 - 3 x}{2}

z^{2} + 8 z + 15