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:
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Answer:
c. y=x^2+2x-7
Step-by-step explanation:
A linear function has the highest power of 1 (x)
A quadratic has the highest power of 2 (x^2)
A cubic has the highest power of 3 ( x^2)
a. y=x+9 linear
b. y=2x-15 linear
c. y=x^2+2x-7 quadratic
d. y=x^3-x^2 cubic
Answer:
4 3/4
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Since the y-intercept is (0,3), the second part of the equation of slope (y = mx+b) will be +3. There are three ways to find the slope. Just look at the graph and see how much y increases for every time x increases is the first way. Another way is to find two points that have WHOLE numbers. now count the distance of y between them and the distance of x between them. Now put y over x (y/x). The last way is y1-y2/x1-x2, where you choose to straight points and subtract the y from the other y and the x from the other x, then put y over x. Now we can put the whole equation together to get y = 3/2x +3. or y = 1 and 1/2x+3 (its usually an improper fraction though). Hope this wasn't confusing and helped.