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LUCKY_DIMON [66]
2 years ago
8

Divide 8x⁴-6x³+2÷2x²+3

Mathematics
1 answer:
arlik [135]2 years ago
7 0

WhenWhen we divide 8x⁴ - 6x³ + 2 by 2x² + 3 The result obtained is 4x² - 3x - 6 remainder 9x + 20

<h3>What is quotient?</h3>

Quotient is the result obtained when division operation is carried out.

For example when 6 is divided by 2, the result obtained is 3. Thus, the quotient is 3

<h3>How to divide 8x⁴ - 6x³ + 2 by 2x² + 3 </h3>

To divide 8x⁴ - 6x³ + 2 by 2x² + 3, we shall apply the long division method. This is illustrated below:

                         <u> </u><u> </u><u>4</u><u>x² </u><u>-</u><u> </u><u>3</u><u>x</u><u> </u><u>-</u><u> </u><u>6</u><u>  </u>      

             <u>2x² + 3 </u>| 8x⁴ - 6x³ + 2

                       <u>  -(8x⁴ + 12x²)</u>

                         -6x³ - 12x² + 2

                        <u> -(-6x³ - 9x) </u>

                        -12x² + 9x + 2

                         <u>-(-12x² - 18)</u>

                          9x + 20            

 

Thus, the result obtained when we divide 8x⁴ - 6x³ + 2 by 2x² + 3 is 4x² - 3x - 6 remainder 9x + 20

Learn more about quotient:

brainly.com/question/9197434

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