To find the quotient of the polynomial 5x² + 22x + 8 divided by 4, we will divide each term of the polynomial by 4.
The polynomial can be represented as:
- 5x² divided by 4 is (5/4)x²
- 22x divided by 4 is (22/4)x, which simplifies to (11/2)x
- 8 divided by 4 is 2
Now, combining these results, the quotient is:
Quotient = (5/4)x² + (11/2)x + 2
This is the final result of the division.