What is factor x^3-4x^2-3x+18 ?

The solution to factor x^3-4x^2-3x+18 is (x+2)(x-3)^2

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factor x^3-4x^2-3x+18

factor

x^{3} - 4 x^{2} - 3 x + 18

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

Solution steps

x^{3} - 4 x^{2} - 3 x + 18

Use the rational root theorem

= (x + 2) \frac{x ^{3} - 4 x ^{2} - 3 x + 18}{x + 2}

\frac{x ^{3} - 4 x ^{2} - 3 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}

- 3 x - 12 < 3 x + 12

64 x^{6} - y^{6}

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

90 \cdot \frac{1}{3}

5 x^{2} + 1 = 2 x

What is factor x^3-4x^2-3x+18 ?
The solution to factor x^3-4x^2-3x+18 is (x+2)(x-3)^2