Urgent! Help! A cubic polynomial has zeros at x=-1, x=1, and x=3. It has a y-intercept of -6. What is the remainder when we divide this polynomial by x^2+1 ??
Start is a factor, k that allows one to adjust the y intercept:
Multiply that by the factor corresponding to the zero,
Multiply by the factor corresponding to the zero,
The last factor is the one corresponding to the zero,
To find the value of k, we set the factors equal to -6 and x within the factors equal to 0
Because the divisor is not of the form
Here is a link to WolframAlpha for the division.
Please notice that the remainder is