Notice that the dividend \(8y^2-12y+4\) has tree terms with \(a=8y^2\), \(b=-12y\), c\(c=4\)
Now, to divided our dividend \(8y^2-12y+4\) by the monomial (single term) \(4y\), the easiest thing to do is divide each term of the dividend by the monomial:
\(8y^2-12y+4\) ÷ \(4y\) = \(\frac{8y^2-12y+4}{4y} =\frac{8y^2}{4y} -\frac{12y}{4y} +\frac{4}{4y}= 2y-3+\frac{1}{y}\)
After performing the division we get that now \(a=2y\) and \(b=-3\)
We can conclude that the correct answer is a = 2y and b = –3
