What is factor x^4-2x^3-11x^2+12x+36 ?

The solution to factor x^4-2x^3-11x^2+12x+36 is (x+2)^2(x-3)^2

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factor x^4-2x^3-11x^2+12x+36

factor

x^{4} - 2 x^{3} - 11 x^{2} + 12 x + 36

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

Solution steps

x^{4} - 2 x^{3} - 11 x^{2} + 12 x + 36

Use the rational root theorem

= (x + 2) \frac{x ^{4} - 2 x ^{3} - 11 x ^{2} + 12 x + 36}{x + 2}

\frac{x ^{4} - 2 x ^{3} - 11 x ^{2} + 12 x + 36}{x + 2} = x^{3} - 4 x^{2} - 3 x + 18

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

Factor

x^{3} - 4 x^{2} - 3 x + 18 : (x + 2) (x - 3) (x - 3)

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

Simplify

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

3 - 0.064

(- \frac{10}{2})^{2}

\frac{6}{4 - 3 i}

4 \times 2 x^{2}

\frac{5}{6} \times 5

What is factor x^4-2x^3-11x^2+12x+36 ?
The solution to factor x^4-2x^3-11x^2+12x+36 is (x+2)^2(x-3)^2