Answer:
Option B is the correct choice.
\(a=2h\)
\(b=1\)
Step-by-step explanation:
We are asked to find the value of a and b for the division of \(4h^2+2h+6\) by 2h.
Upon representing our problem as a division problem we will get,
\(\frac{4h^2+2h+6}{2h}\)
We can see that our dividend \(4h^2+2h+6\) is a polynomial with three terms as:
\(a=4h^2\)
\(b=2h\)
\(c=6\)
Our divisor is a monomial. We can also represent our rational expression by dividing the each term of our numerator by our divisor as:
\(\frac{4h^2}{2h}+\frac{2h}{2h}+\frac{6}{2h}\)
Upon simplifying our expression we will get,
\(2h+1+\frac{6}{2h}\)
Now we can see that a equals 2h, b equals 1 and c equals 6/2h.
Upon looking at our given choices we can see that option B is the correct choice.
