Question

Consider the division of 8y^2 – 12y + 4 by 4y. 8y^2-12y 4/4y = 8y^2/4y -12y/4y 4/4y = a+b+1/y

What is the value of a and b?
Option A: a = 2y and b = 3
Option B: a = y/12 and b = –3y
Option C: a = 2y and b = –3
Option D: a = 2/y and b = 3y

Answer 1

Option C is correct.

Explanation:

We need to find the values of a and b.

We are given:

`8y^2-12y + 4 \,\,by\,\, 4y\\8y^2-12y +4/4y\\8y^2/4y -12y/4y +4/4y = a+b+1/y\\2y -3+1/y = a+b+1/y`

From the equation
`2y -3+1/y = a+b+1/y` we can find value of a and b

a = 2y and b= -3

So, Option C is correct.