Question

3. p = x = 2x ^ 1 + 5x ^ 2 - 3x - 2 is divided by x - 1 then remainder is (a) 2 (b) -1 (c) 0 (d) -2

Answer 1

Answer:

a) 2 is the correct answer

Step-by-step explanation:

Given, polynomial, p(x)=2x

3

+5x

2

−3x−2 divided by (x−1).

The polynomial is divided by (x−1) .

Then put (x−1)=0⟹ x=1

we get,

p(1)= 2(1)

3

+5(1)

2

−3(1)−2

⇒p(1)=2+5−3−2

⇒p(1)=2+5−5

⇒p(1)=2.

So, when p(x)= 2x

3

+5x

2

−3x−2 is divided by x−1, the remainder obtained is 2.