What is factor x^3-9x^2+24x-20 ?

The solution to factor x^3-9x^2+24x-20 is (x-2)^2(x-5)

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factor x^3-9x^2+24x-20

factor

x^{3} - 9 x^{2} + 24 x - 20

(x - 2)^{2} (x - 5)

Solution steps

x^{3} - 9 x^{2} + 24 x - 20

Use the rational root theorem

= (x - 2) \frac{x ^{3} - 9 x ^{2} + 24 x - 20}{x - 2}

\frac{x ^{3} - 9 x ^{2} + 24 x - 20}{x - 2} = x^{2} - 7 x + 10

= (x - 2) (x^{2} - 7 x + 10)

Factor

x^{2} - 7 x + 10 : (x - 2) (x - 5)

= (x - 2) (x - 2) (x - 5)

Apply exponent rule:

aa = a^{2}

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

= (x - 2)^{2} (x - 5)

m^{2} m

16 x^{2} - 46 x + 15

\frac{x ^{2} y ^{4}}{x y ^{2}}

100 x^{2} - 36

9 - 100 x^{2}

What is factor x^3-9x^2+24x-20 ?
The solution to factor x^3-9x^2+24x-20 is (x-2)^2(x-5)