What is factor x^4-2x^3-4x^2+18x-45 ?

The solution to factor x^4-2x^3-4x^2+18x-45 is (x-3)(x+3)(x^2-2x+5)

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factor x^4-2x^3-4x^2+18x-45

factor

x^{4} - 2 x^{3} - 4 x^{2} + 18 x - 45

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

Solution steps

x^{4} - 2 x^{3} - 4 x^{2} + 18 x - 45

Use the rational root theorem

= (x - 3) \frac{x ^{4} - 2 x ^{3} - 4 x ^{2} + 18 x - 45}{x - 3}

\frac{x ^{4} - 2 x ^{3} - 4 x ^{2} + 18 x - 45}{x - 3} = x^{3} + x^{2} - x + 15

= (x - 3) (x^{3} + x^{2} - x + 15)

Factor

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

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

625 x^{4} - 16 y^{4}

\frac{2}{9} \cdot 3

2 x^{2} + 3 x - 27

x + 3 < 3 x - 1 < 2 x + 3

4 (3 + u) - u = 6 + 3 (u + 2)

What is factor x^4-2x^3-4x^2+18x-45 ?
The solution to factor x^4-2x^3-4x^2+18x-45 is (x-3)(x+3)(x^2-2x+5)