What is factor x^3-8x^2+21x-18 ?

The solution to factor x^3-8x^2+21x-18 is (x-2)(x-3)^2

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factor x^3-8x^2+21x-18

factor

x^{3} - 8 x^{2} + 21 x - 18

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

Solution steps

x^{3} - 8 x^{2} + 21 x - 18

Use the rational root theorem

= (x - 2) \frac{x ^{3} - 8 x ^{2} + 21 x - 18}{x - 2}

\frac{x ^{3} - 8 x ^{2} + 21 x - 18}{x - 2} = x^{2} - 6 x + 9

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

Factor

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

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

Apply exponent rule:

aa = a^{2}

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

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

64 + 9

3 (y + 2)

(3 x + y)^{11}

(2 + i) - (9 i - 3)

(- 4 a^{2} b) (- a b^{2})

What is factor x^3-8x^2+21x-18 ?
The solution to factor x^3-8x^2+21x-18 is (x-2)(x-3)^2