Question

Divide.
(x² +9x+17) ÷ (x+3)
Your answer should give the quotient and the remainder.

Answer 1

To divide (x² + 9x + 17) by (x + 3), use long division method to get the quotient x - 3 and remainder (17 - 51)/(x + 3).

Step-by-step explanation:

To divide the polynomial (x² + 9x + 17) by (x + 3), we can use either long division or synthetic division method. Let's use long division.

1. First, divide the highest degree term of the dividend (x²) by the highest degree term of the divisor (x). This gives us x as the quotient.
2. Next, multiply the divisor (x + 3) by x, and subtract the result from the dividend (x² + 9x + 17).
3. Bring down the next term (-3x) from the dividend.
4. Repeat steps 1 and 2 until we reach the last term, which in this case is 17.
5. Divide 17 by (x + 3) which gives us a remainder of (17 - 51)/(x + 3).

Therefore, the quotient is x - 3 and the remainder is (17 - 51)/(x + 3).

Learn more about Dividing polynomials