What is factor 4a^2-3a-1 ?

The solution to factor 4a^2-3a-1 is (4a+1)(a-1)

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factor 4a^2-3a-1

factor

4 a^{2} - 3 a - 1

(4 a + 1) (a - 1)

Solution steps

4 a^{2} - 3 a - 1

Break the expression into groups

= (4 a^{2} + a) + (- 4 a - 1)

Factor out

a

from

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

Factor out

- 1

from

- 4 a - 1 : - (4 a + 1)

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

Factor out common term

(4 a + 1) : (4 a + 1) (a - 1)

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

(x - 14) (x + 10) = - 104

8 \cdot 32

- 13 < 3 x + 8 \leq 23

10 x - 4 x + 6 < 3 (x + 5)

5 x^{2} - 245