5π 77π 18. 18 Are they coterminal
1 answer:
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Answer:
x⁴+2x³ +3x²+6x +12 r.
Step-by-step explanation:
You can do this through synthetic division. It is a shorthand way of dividing polynomials.
First you need to make your divisor equal to zero so you can solve for what goes into the division box:
x - 2 = 0 → x = 2
The next step is to arrange your polynomials in descending powers. All missing terms, you will put in a zero.
x⁵ - x³ + (-5) → x⁵ + 0x⁴- x³ + 0x² + 0x + (-5)
Now you can proceed to synthetic division. Make an upside down division box with the divisor outside and the coefficients of the dividend listed, along with their sign. Leave a space below the divident
+2 | +1 0 -1 0 0 -5
|<u> </u>
Next you bring down the first coefficient:
+2 | +1 0 -1 0 0 -5
|<u> </u>
+1
Then you multiply it by the divisor and write the product under the next coefficient:
+2 | +1 0 -1 0 0 -5
|<u> +2 </u>
+1
Next add the column and put the sum below it:
+2 | +1 0 -1 0 0 -5
|<u> +2 </u>
+1 +2
Then multiply again and repeat until you reach the last coefficient:
+2 | +1 0 -1 0 0 -5
|<u> +2 +4 +6 +12 +24 </u>
+1 +2 +3 +6 +12 +19
Now that you have your results, add in the x and their powers. The powers will start with the highest power but 1 less than the dividend. Since the dividend's highest power is 5, then the quotient's highest power will be 4. Then write it in descending order :
+1x⁴ +2x³ +3x² +6x +12 +19
Now the last coefficient is your remainder. So your results will be:
x⁴+2x³ +3x²+6x +12 r.
Answer:
D.
Step-by-step explanation:
We graph the points on the graph. The graph is attached.
Let us take two points (1, 14) and (15, 1), and calculate the slope between them <em>(we choose these points because the line passing through them will be the best fit for all points) </em>
Thus we have the equation
Let us now calculate from the point
So the equation we get is
Let us now turn to the choices given and see which choice is closest to our equation: we see that choice D. is the closest one, so we pick it.
