Question

Divide:-
$\frac{ (- x^{7} + 2x ^{5} + 4x ^{3} + 3x ^{2})} {\sqrt{2}x ^{2} }$
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Answer 1

Step-by-step explanation:

Given:

$\frac{ (- x^{7} + 2x ^{5} + 4x ^{3} + 3x ^{2})} {\sqrt{2}x ^{2} }$

To find: Divide

Solution:

Step 1: Take x² common from numerator

$\frac{ x^2(- x^{5} + 2x ^{3} + 4x + 3)} {\sqrt{2}x ^{2} }$

Step 2: Cancel x² from numerator as well as from denominator

$\frac{(- x^{5} + 2x ^{3} + 4x + 3)} {\sqrt{2}}$

Step 3: Result is

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

Final answer:

Result of division is

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

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