What is factor 2x^4-3x^3-15x^2+32x-12 ?

The solution to factor 2x^4-3x^3-15x^2+32x-12 is (2x-1)(x-2)^2(x+3)

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factor 2x^4-3x^3-15x^2+32x-12

factor

2 x^{4} - 3 x^{3} - 15 x^{2} + 32 x - 12

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

Solution steps

2 x^{4} - 3 x^{3} - 15 x^{2} + 32 x - 12

Use the rational root theorem

= (2 x - 1) \frac{2 x ^{4} - 3 x ^{3} - 15 x ^{2} + 32 x - 12}{2 x - 1}

\frac{2 x ^{4} - 3 x ^{3} - 15 x ^{2} + 32 x - 12}{2 x - 1} = x^{3} - x^{2} - 8 x + 12

= (2 x - 1) (x^{3} - x^{2} - 8 x + 12)

Factor

x^{3} - x^{2} - 8 x + 12 : (x - 2) (x - 2) (x + 3)

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

Apply exponent rule:

aa = a^{2}

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

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

y 54 x^{3} y^{3}

0. 2^{8}

x^{2} - \frac{3}{2} x - 1

lo g_{10} (240)

x^{2} - 2 x + \frac{3}{4}

What is factor 2x^4-3x^3-15x^2+32x-12 ?
The solution to factor 2x^4-3x^3-15x^2+32x-12 is (2x-1)(x-2)^2(x+3)