What is factor 2x^3-11x^2+12x+9 ?

The solution to factor 2x^3-11x^2+12x+9 is (2x+1)(x-3)^2

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factor 2x^3-11x^2+12x+9

factor

2 x^{3} - 11 x^{2} + 12 x + 9

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

Solution steps

2 x^{3} - 11 x^{2} + 12 x + 9

Use the rational root theorem

= (2 x + 1) \frac{2 x ^{3} - 11 x ^{2} + 12 x + 9}{2 x + 1}

\frac{2 x ^{3} - 11 x ^{2} + 12 x + 9}{2 x + 1} = x^{2} - 6 x + 9

= (2 x + 1) (x^{2} - 6 x + 9)

Factor

x^{2} - 6 x + 9 : (x - 3) (x - 3)

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

Apply exponent rule:

aa = a^{2}

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

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

(x - 4 + i) (x - 4 - i)

\frac{4 ^{x}}{2 ^{x}}

\frac{2}{4} + \frac{2}{6} + \frac{1}{8}

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

What is factor 2x^3-11x^2+12x+9 ?
The solution to factor 2x^3-11x^2+12x+9 is (2x+1)(x-3)^2