What is factor x^4-3x^3-3x^2+11x-6 ?

The solution to factor x^4-3x^3-3x^2+11x-6 is (x-1)^2(x+2)(x-3)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor x^4-3x^3-3x^2+11x-6

factor

x^{4} - 3 x^{3} - 3 x^{2} + 11 x - 6

(x - 1)^{2} (x + 2) (x - 3)

Solution steps

x^{4} - 3 x^{3} - 3 x^{2} + 11 x - 6

Use the rational root theorem

= (x - 1) \frac{x ^{4} - 3 x ^{3} - 3 x ^{2} + 11 x - 6}{x - 1}

\frac{x ^{4} - 3 x ^{3} - 3 x ^{2} + 11 x - 6}{x - 1} = x^{3} - 2 x^{2} - 5 x + 6

= (x - 1) (x^{3} - 2 x^{2} - 5 x + 6)

Factor

x^{3} - 2 x^{2} - 5 x + 6 : (x - 1) (x + 2) (x - 3)

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

Apply exponent rule:

aa = a^{2}

(x - 1) (x - 1) = (x - 1)^{2}

= (x - 1)^{2} (x + 2) (x - 3)

f (x - 1)

\frac{1}{15}

\frac{x ^{2} - 36}{2 x ^{3} + 12 x ^{2}}

(- 1 + x)^{2}

(x - 3) \cdot (x + 3)

What is factor x^4-3x^3-3x^2+11x-6 ?
The solution to factor x^4-3x^3-3x^2+11x-6 is (x-1)^2(x+2)(x-3)