Question

5. When a polynomial x2 + 3x + 3 is divided by (x + 2), find the remainder.​

Answer 1

Answer:

-1

Step-by-step explanation:

Given polynomial is f(x)=x2

+3x+1 and it is divided by (x+1)

Remainder theorem states that the remainder of the division of a polynomial f(x) by a linear polynomial x−a is equal to f(a)

Here, linear polynomial is x+1 and a=−1

∴f(a)=f(−1)=(−1)

2

+3(−1)+1=1−3+1=−1 is the remainder of the given polynomial f(x