What is factor 5x^3-x^2+15x-3 ?

The solution to factor 5x^3-x^2+15x-3 is (5x-1)(x^2+3)

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factor 5x^3-x^2+15x-3

factor

5 x^{3} - x^{2} + 15 x - 3

(5 x - 1) (x^{2} + 3)

Solution steps

5 x^{3} - x^{2} + 15 x - 3

= (5 x^{3} - x^{2}) + (15 x - 3)

Factor out

x^{2}

from

5 x^{3} - x^{2} : x^{2} (5 x - 1)

Factor out

3

from

15 x - 3 : 3 (5 x - 1)

= x^{2} (5 x - 1) + 3 (5 x - 1)

Factor out common term

5 x - 1

= (5 x - 1) (x^{2} + 3)

(- x + 2)^{2} (x - 1) (3 - x)^{4} (x + 5)^{3} \leq 0

200 + 50 - 98 - 338

2 < 15 0^{\circ}

∣ x - 6 ∣ \geq 3

(9 \cdot 3 + 5 - (7 \cdot 3 + 23)) \cdot \frac{( 3 - 15 )}{2}

What is factor 5x^3-x^2+15x-3 ?
The solution to factor 5x^3-x^2+15x-3 is (5x-1)(x^2+3)