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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
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Answer:
The table that represents the nonlinear function is the one where the x-values are -7, -5 and 0 and the y-values are -3, 0 and 3.
Step-by-step explanation:
In order for a table to represent a linear function, there needs to be a consistent change in y-values divided by the change in x-values. For example, for any two points on the table when we subtract two y-values and divide by the number we get when we subtract two x-values, this change should be represented throughout the table. So, in the case of the other three tables, when we choose two points from the table, such as (-5, 7) and (-2,6) and put them into an equation (y2-y1/x2-x1) or (6-7)/(-2-(-5)) we would get a change of -1/3. However, when we apply this concept to the table where x-values are -7,-5, and 0, we see that the change is not consistent between points, so the function must be nonlinear.
Answer:
the answer is 11.625 so it is <u><em>12</em></u>
Step-by-step explanation: