What is factor 3x^3-13x^2+43x-13 ?

The solution to factor 3x^3-13x^2+43x-13 is (3x-1)(x^2-4x+13)

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factor 3x^3-13x^2+43x-13

factor

3 x^{3} - 13 x^{2} + 43 x - 13

(3 x - 1) (x^{2} - 4 x + 13)

Solution steps

3 x^{3} - 13 x^{2} + 43 x - 13

Use the rational root theorem

a_{0} = 13, a_{n} = 3

The dividers of

a_{0} : 1, 13,

The dividers of

a_{n} : 1, 3

Therefore, check the following rational numbers:

\pm \frac{1 , 13}{1 , 3}

\frac{1}{3}

is a root of the expression, so factor out

3 x - 1

= (3 x - 1) \frac{3 x ^{3} - 13 x ^{2} + 43 x - 13}{3 x - 1}

\frac{3 x ^{3} - 13 x ^{2} + 43 x - 13}{3 x - 1} = x^{2} - 4 x + 13

= (3 x - 1) (x^{2} - 4 x + 13)

\frac{y}{6} \leq 2

∣ x + 4 ∣ \geq 2

2 a^{2} + 5 a - 5 = 0

0.0014 > 0.000012

2 - x = - 3 + x

What is factor 3x^3-13x^2+43x-13 ?
The solution to factor 3x^3-13x^2+43x-13 is (3x-1)(x^2-4x+13)