Question

Consider the division of 8y2 – 12y + 4 by 4y. what are the values of a and b? a. a = 2y and b = 3 b. a = y/2 and b = –3y c. a = 2y and b = –3 d. a = 2/y and b = 3y

Answer 1

Answer: c. a = 2y and b = -3

Explanation:

To find the values of a and b in this division problem, we need to perform polynomial division. Starting with the dividend, 8y^2 – 12y + 4, we divide the leading term of the dividend, 8y^2, by the leading term of the divisor, 4y. This gives a quotient of 2y.

Next, we multiply the divisor, 4y, by 2y and subtract it from the dividend, 8y^2 – 12y + 4. This gives a remainder of -3.

So, in this division problem, the values of a and b are a = 2y and b = -3.