What is factor x^4+8x^3+8x^2-72x-153 ?

The solution to factor x^4+8x^3+8x^2-72x-153 is (x-3)(x+3)(x^2+8x+17)

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factor x^4+8x^3+8x^2-72x-153

factor

x^{4} + 8 x^{3} + 8 x^{2} - 72 x - 153

(x - 3) (x + 3) (x^{2} + 8 x + 17)

Solution steps

x^{4} + 8 x^{3} + 8 x^{2} - 72 x - 153

Use the rational root theorem

= (x - 3) \frac{x ^{4} + 8 x ^{3} + 8 x ^{2} - 72 x - 153}{x - 3}

\frac{x ^{4} + 8 x ^{3} + 8 x ^{2} - 72 x - 153}{x - 3} = x^{3} + 11 x^{2} + 41 x + 51

= (x - 3) (x^{3} + 11 x^{2} + 41 x + 51)

Factor

x^{3} + 11 x^{2} + 41 x + 51 : (x + 3) (x^{2} + 8 x + 17)

= (x - 3) (x + 3) (x^{2} + 8 x + 17)

\frac{3}{4} = \frac{x}{12}

n^{2} - 4 n - 21

\frac{21}{- 7}

- \frac{1}{2} - \frac{3}{5}

\frac{12 a ^{4} b ^{5}}{4 a ^{3} b ^{6}}

What is factor x^4+8x^3+8x^2-72x-153 ?
The solution to factor x^4+8x^3+8x^2-72x-153 is (x-3)(x+3)(x^2+8x+17)