What is factor x^4-9x^3+12x^2+80x-192 ?

The solution to factor x^4-9x^3+12x^2+80x-192 is (x+3)(x-4)^3

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factor x^4-9x^3+12x^2+80x-192

factor

x^{4} - 9 x^{3} + 12 x^{2} + 80 x - 192

(x + 3) (x - 4)^{3}

Solution steps

x^{4} - 9 x^{3} + 12 x^{2} + 80 x - 192

Use the rational root theorem

= (x + 3) \frac{x ^{4} - 9 x ^{3} + 12 x ^{2} + 80 x - 192}{x + 3}

\frac{x ^{4} - 9 x ^{3} + 12 x ^{2} + 80 x - 192}{x + 3} = x^{3} - 12 x^{2} + 48 x - 64

= (x + 3) (x^{3} - 12 x^{2} + 48 x - 64)

Factor

x^{3} - 12 x^{2} + 48 x - 64 : (x - 4)^{3}

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

(\frac{1}{x ^{2} - 3 x - 54})^{\frac{1}{2}}

3 x + 2 (2 x + 1) = 4 (3 + x)

10 \cdot 1 0^{- 3}

16 x^{3} + 128

3 (x - 10)^{2} = 48

What is factor x^4-9x^3+12x^2+80x-192 ?
The solution to factor x^4-9x^3+12x^2+80x-192 is (x+3)(x-4)^3