What is (4x^3-7x^2-11x+5)/(4x+5) ?

The solution to (4x^3-7x^2-11x+5)/(4x+5) is x^2-3x+1

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simplify (4x^3-7x^2-11x+5)/(4x+5)

simplify

\frac{4 x ^{3} - 7 x ^{2} - 11 x + 5}{4 x + 5}

x^{2} - 3 x + 1

Solution steps

\frac{4 x ^{3} - 7 x ^{2} - 11 x + 5}{4 x + 5}

Factor

4 x^{3} - 7 x^{2} - 11 x + 5 : (4 x + 5) (x^{2} - 3 x + 1)

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

Cancel the common factor:

4 x + 5

= x^{2} - 3 x + 1

x - 0.2 x

\frac{48}{5}

(- \frac{1}{3})^{- 2}

\frac{1}{3} \cdot 90

\frac{9 x ^{6} y ^{3} - 6 x ^{4} y ^{2} - 3 x ^{2} y ^{5}}{3 x ^{2} y}

What is (4x^3-7x^2-11x+5)/(4x+5) ?
The solution to (4x^3-7x^2-11x+5)/(4x+5) is x^2-3x+1