What is factor x^5+x^4-13x^3-13x^2+36x+36 ?

The solution to factor x^5+x^4-13x^3-13x^2+36x+36 is (x+1)(x+2)(x-2)(x+3)(x-3)

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factor x^5+x^4-13x^3-13x^2+36x+36

factor

x^{5} + x^{4} - 13 x^{3} - 13 x^{2} + 36 x + 36

(x + 1) (x + 2) (x - 2) (x + 3) (x - 3)

Solution steps

x^{5} + x^{4} - 13 x^{3} - 13 x^{2} + 36 x + 36

Use the rational root theorem

= (x + 1) \frac{x ^{5} + x ^{4} - 13 x ^{3} - 13 x ^{2} + 36 x + 36}{x + 1}

\frac{x ^{5} + x ^{4} - 13 x ^{3} - 13 x ^{2} + 36 x + 36}{x + 1} = x^{4} - 13 x^{2} + 36

= (x + 1) (x^{4} - 13 x^{2} + 36)

Factor

x^{4} - 13 x^{2} + 36 : (x + 2) (x - 2) (x + 3) (x - 3)

= (x + 1) (x + 2) (x - 2) (x + 3) (x - 3)

7 (10 - 3 w) = 5 (15 - 4 w)

1 4^{2} - 9^{2} = x^{2}

3 x - 6 = 4

- \frac{2}{5} (- 8)

What is factor x^5+x^4-13x^3-13x^2+36x+36 ?
The solution to factor x^5+x^4-13x^3-13x^2+36x+36 is (x+1)(x+2)(x-2)(x+3)(x-3)