What is factor 4x^2-17x-15 ?

The solution to factor 4x^2-17x-15 is (4x+3)(x-5)

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factor 4x^2-17x-15

factor

4 x^{2} - 17 x - 15

(4 x + 3) (x - 5)

Solution steps

4 x^{2} - 17 x - 15

Break the expression into groups

= (4 x^{2} + 3 x) + (- 20 x - 15)

Factor out

x

from

4 x^{2} + 3 x : x (4 x + 3)

Factor out

- 5

from

- 20 x - 15 : - 5 (4 x + 3)

= x (4 x + 3) - 5 (4 x + 3)

Factor out common term

4 x + 3

= (4 x + 3) (x - 5)

2 x^{2} - 3 x + 1

2 (x - 4) = 15

- 9 \cdot (- \frac{4}{3})

- 10.9 p + 3.9 = - 9.18

9 x^{2} - 49 = 0