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