What is factor x^5-4x^4-10x^3+26x^2-11x+30 ?

The solution to factor x^5-4x^4-10x^3+26x^2-11x+30 is (x-2)(x+3)(x-5)(x^2+1)

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factor x^5-4x^4-10x^3+26x^2-11x+30

factor

x^{5} - 4 x^{4} - 10 x^{3} + 26 x^{2} - 11 x + 30

(x - 2) (x + 3) (x - 5) (x^{2} + 1)

Solution steps

x^{5} - 4 x^{4} - 10 x^{3} + 26 x^{2} - 11 x + 30

Use the rational root theorem

= (x - 2) \frac{x ^{5} - 4 x ^{4} - 10 x ^{3} + 26 x ^{2} - 11 x + 30}{x - 2}

\frac{x ^{5} - 4 x ^{4} - 10 x ^{3} + 26 x ^{2} - 11 x + 30}{x - 2} = x^{4} - 2 x^{3} - 14 x^{2} - 2 x - 15

= (x - 2) (x^{4} - 2 x^{3} - 14 x^{2} - 2 x - 15)

Factor

x^{4} - 2 x^{3} - 14 x^{2} - 2 x - 15 : (x + 3) (x - 5) (x^{2} + 1)

= (x - 2) (x + 3) (x - 5) (x^{2} + 1)

(5 + 2 i) (2 + 6 i)

10 \times \frac{1}{3}

\frac{5}{12} - \frac{1}{3}

(4 - 4 x - 2 y)^{2}

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

What is factor x^5-4x^4-10x^3+26x^2-11x+30 ?
The solution to factor x^5-4x^4-10x^3+26x^2-11x+30 is (x-2)(x+3)(x-5)(x^2+1)