Answer: The quotient when 18f^2+45f is divided by 9f is 2f+5.
To find the quotient when 18f^2+45f is divided by 9f, we use the rule for long division of polynomials. We divide the first term of the dividend (18f^2) by the first term of the divisor (9f). This gives us a quotient of 2f.
We then multiply the divisor (9f) by the quotient (2f) and subtract it from the dividend (18f^2+45f). This leaves us with 45f.
Next, we bring down the next term of the dividend (45f) to get 45f + 45f.
Now we divide the new dividend (45f + 45f) by the divisor (9f) to get a quotient of 5.
So the final quotient is 2f + 5.
Explanation: