What is factor 2x^3-13x^2+24x-9 ?

The solution to factor 2x^3-13x^2+24x-9 is (2x-1)(x-3)^2

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factor 2x^3-13x^2+24x-9

factor

2 x^{3} - 13 x^{2} + 24 x - 9

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

Solution steps

2 x^{3} - 13 x^{2} + 24 x - 9

Use the rational root theorem

= (2 x - 1) \frac{2 x ^{3} - 13 x ^{2} + 24 x - 9}{2 x - 1}

\frac{2 x ^{3} - 13 x ^{2} + 24 x - 9}{2 x - 1} = x^{2} - 6 x + 9

= (2 x - 1) (x^{2} - 6 x + 9)

Factor

x^{2} - 6 x + 9 : (x - 3) (x - 3)

= (2 x - 1) (x - 3) (x - 3)

Apply exponent rule:

aa = a^{2}

(x - 3) (x - 3) = (x - 3)^{2}

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

x^{2} - 4 x = 28

\frac{1 + \frac{9}{c - 1}}{1 - \frac{9}{c - 1}}

3 \cdot (\frac{1}{3})^{2}

(2 x + 1)^{2} = 0

(x^{- \frac{4}{7}})^{7}

What is factor 2x^3-13x^2+24x-9 ?
The solution to factor 2x^3-13x^2+24x-9 is (2x-1)(x-3)^2