What is factor 12x^5-8x^4-13x^3+9x^2+x-1 ?

The solution to factor 12x^5-8x^4-13x^3+9x^2+x-1 is (x-1)(x+1)(2x-1)^2(3x+1)

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factor 12x^5-8x^4-13x^3+9x^2+x-1

factor

12 x^{5} - 8 x^{4} - 13 x^{3} + 9 x^{2} + x - 1

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

Solution steps

12 x^{5} - 8 x^{4} - 13 x^{3} + 9 x^{2} + x - 1

Use the rational root theorem

= (x - 1) \frac{12 x ^{5} - 8 x ^{4} - 13 x ^{3} + 9 x ^{2} + x - 1}{x - 1}

\frac{12 x ^{5} - 8 x ^{4} - 13 x ^{3} + 9 x ^{2} + x - 1}{x - 1} = 12 x^{4} + 4 x^{3} - 9 x^{2} + 1

= (x - 1) (12 x^{4} + 4 x^{3} - 9 x^{2} + 1)

Factor

12 x^{4} + 4 x^{3} - 9 x^{2} + 1 : (x + 1) (2 x - 1) (3 x + 1) (2 x - 1)

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

Apply exponent rule:

aa = a^{2}

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

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

\frac{1000}{100}

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

\frac{5 x - 2}{4 x} - \frac{x - 2}{4 x}

\frac{( x ^{3} y ^{2} ) + ( 2 x ^{5} y ^{3} )}{x y}

- 4 \cdot 16

What is factor 12x^5-8x^4-13x^3+9x^2+x-1 ?
The solution to factor 12x^5-8x^4-13x^3+9x^2+x-1 is (x-1)(x+1)(2x-1)^2(3x+1)