Answer :
Answer:
Step-by-step explanation:
Certainly! Let’s find the remainder when the polynomial y4−y2−2y+4
is divided by 2y−1
.
We can use the Remainder Theorem to find the remainder. First, let’s set up the equation:
Divide the polynomial by the divisor:
2y−1y4−y2−2y+4
We can use long division or synthetic division to find the quotient and remainder. Let’s use synthetic division:
Set up the synthetic division table:1/2 | 1 0 -1 -2 4
|_______
| 1 1/2 0 -1
|_______
1 1/2 -1 3
The remainder is the last value in the last row, which is 3.
Therefore, the remainder when y4−y2−2y+4
is divided by 2y−1
is 3