Given #160; (5x^3 3x^2)÷ x^2=5x^3 3x^2x^2 #160; #160; #160; #160; #160; #160; #160; #160; #160; #160; #160; #160; # ...

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Division of a Polynomial by a Monomial

Evaluate 5x3...

Question

Evaluate
$(5 x^{3} - 3 x^{2}) \div x^{2}$

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Solution

Given
$(5 x^{3} - 3 x^{2}) \div x^{2} = \frac{5 x^{3} - 3 x^{2}}{x^{2}}$

$= \frac{5 x^{3}}{x^{2}} - \frac{3 x^{2}}{x^{2}}$

$= 5 x^{2} - 3$

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