What is factor x^4-8x^3+26x^2-32x+13 ?

The solution to factor x^4-8x^3+26x^2-32x+13 is (x-1)^2(x^2-6x+13)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor x^4-8x^3+26x^2-32x+13

factor

x^{4} - 8 x^{3} + 26 x^{2} - 32 x + 13

(x - 1)^{2} (x^{2} - 6 x + 13)

Solution steps

x^{4} - 8 x^{3} + 26 x^{2} - 32 x + 13

Use the rational root theorem

= (x - 1) \frac{x ^{4} - 8 x ^{3} + 26 x ^{2} - 32 x + 13}{x - 1}

\frac{x ^{4} - 8 x ^{3} + 26 x ^{2} - 32 x + 13}{x - 1} = x^{3} - 7 x^{2} + 19 x - 13

= (x - 1) (x^{3} - 7 x^{2} + 19 x - 13)

Factor

x^{3} - 7 x^{2} + 19 x - 13 : (x - 1) (x^{2} - 6 x + 13)

= (x - 1) (x - 1) (x^{2} - 6 x + 13)

Apply exponent rule:

aa = a^{2}

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

= (x - 1)^{2} (x^{2} - 6 x + 13)

∣ 10 - 4 x ∣ + 1 \geq 5

y^{2} + 7 y + 6

- 6 + 4 a = 54

∣ x + 2 ∣ + 3 = 6

35 \cdot (x^{2} + 4) + 13 (x^{2} + 36) = 8 (3 + x)

What is factor x^4-8x^3+26x^2-32x+13 ?
The solution to factor x^4-8x^3+26x^2-32x+13 is (x-1)^2(x^2-6x+13)