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Popular >

factor x^4-6x^2+8x-3

Solution

factor

x^{4} - 6 x^{2} + 8 x - 3

Solution

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

Solution steps

x^{4} - 6 x^{2} + 8 x - 3

Use the rational root theorem

= (x - 1) \frac{x ^{4} - 6 x ^{2} + 8 x - 3}{x - 1}

\frac{x ^{4} - 6 x ^{2} + 8 x - 3}{x - 1} = x^{3} + x^{2} - 5 x + 3

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

Factor

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

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

Apply exponent rule:

aaa = a^{3}

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

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

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Frequently Asked Questions (FAQ)

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