Question

Arrange the following polynomials in the increasing order based on the remainder obtained when divided by x-1.

• A. p(x) =2x-2
• B. p(x) =2x+4
• C. p(x) =2x-1
• D. p(x) =2x + 2

Answer 1

Remainder theorem : " If polynomial p(x) is divided by x-a, then p(a) will be the remainder "

In this case, we are dividing by x- 1.

So, find p(1) for each of the polynomial which gives the remainder.

1. p(x) =2x-2

p(1) = 2(1) - 2 = 0

2. p(x) =2x+4

p(1) = 2(1) +4 =6

3. p(x) =2x-1

p(1) = 2(1) -1 = 1

4. p(x) =2x + 2

p(1) = 2(1) +2 = 4