What is factor 4x^4+4x^3-23x^2-12x+36 ?

The solution to factor 4x^4+4x^3-23x^2-12x+36 is (x+2)^2(2x-3)^2

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factor 4x^4+4x^3-23x^2-12x+36

factor

4 x^{4} + 4 x^{3} - 23 x^{2} - 12 x + 36

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

Solution steps

4 x^{4} + 4 x^{3} - 23 x^{2} - 12 x + 36

Use the rational root theorem

= (x + 2) \frac{4 x ^{4} + 4 x ^{3} - 23 x ^{2} - 12 x + 36}{x + 2}

\frac{4 x ^{4} + 4 x ^{3} - 23 x ^{2} - 12 x + 36}{x + 2} = 4 x^{3} - 4 x^{2} - 15 x + 18

= (x + 2) (4 x^{3} - 4 x^{2} - 15 x + 18)

Factor

4 x^{3} - 4 x^{2} - 15 x + 18 : (x + 2) (2 x - 3) (2 x - 3)

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

Simplify

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

\frac{- 7}{6}

- \frac{1}{5} - \frac{4}{5}

lo g_{9} (\frac{1}{243})

0.29 \times (- 0.5)

What is factor 4x^4+4x^3-23x^2-12x+36 ?
The solution to factor 4x^4+4x^3-23x^2-12x+36 is (x+2)^2(2x-3)^2