What is factor 12x^3-56x^2+87x-45 ?

The solution to factor 12x^3-56x^2+87x-45 is (2x-3)^2(3x-5)

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factor 12x^3-56x^2+87x-45

factor

12 x^{3} - 56 x^{2} + 87 x - 45

(2 x - 3)^{2} (3 x - 5)

Solution steps

12 x^{3} - 56 x^{2} + 87 x - 45

Use the rational root theorem

= (2 x - 3) \frac{12 x ^{3} - 56 x ^{2} + 87 x - 45}{2 x - 3}

\frac{12 x ^{3} - 56 x ^{2} + 87 x - 45}{2 x - 3} = 6 x^{2} - 19 x + 15

= (2 x - 3) (6 x^{2} - 19 x + 15)

Factor

6 x^{2} - 19 x + 15 : (2 x - 3) (3 x - 5)

= (2 x - 3) (2 x - 3) (3 x - 5)

Apply exponent rule:

aa = a^{2}

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

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

\frac{2}{sin ( x )}

(- x^{2} + 4 x + 2)^{2}

- x (7 x - 8)

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

3 (12 - \frac{1}{3} (12 + x))

What is factor 12x^3-56x^2+87x-45 ?
The solution to factor 12x^3-56x^2+87x-45 is (2x-3)^2(3x-5)