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}

e^{2 l o g_{e} (x)}

155 - 175

1 \frac{1}{2} \div 4

\frac{41}{7}

\frac{3}{5} \cdot (- 10)

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