What is factor x^4-7x^3+9x^2+27x-54 ?

The solution to factor x^4-7x^3+9x^2+27x-54 is (x+2)(x-3)^3

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factor x^4-7x^3+9x^2+27x-54

factor

x^{4} - 7 x^{3} + 9 x^{2} + 27 x - 54

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

Solution steps

x^{4} - 7 x^{3} + 9 x^{2} + 27 x - 54

Use the rational root theorem

= (x + 2) \frac{x ^{4} - 7 x ^{3} + 9 x ^{2} + 27 x - 54}{x + 2}

\frac{x ^{4} - 7 x ^{3} + 9 x ^{2} + 27 x - 54}{x + 2} = x^{3} - 9 x^{2} + 27 x - 27

= (x + 2) (x^{3} - 9 x^{2} + 27 x - 27)

Factor

x^{3} - 9 x^{2} + 27 x - 27 : (x - 3)^{3}

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

(0 - 11)^{T}

(k + 1)^{3} + 2 (k + 1)

3.14 \times 2^{2}

15 \div \frac{5}{6}

\frac{8 x ^{3} y ^{4}}{20 x ^{7} y ^{7}}

What is factor x^4-7x^3+9x^2+27x-54 ?
The solution to factor x^4-7x^3+9x^2+27x-54 is (x+2)(x-3)^3