Question

The remainder obtained when ($x^4+4x^3+3$) is divided by ($x+1$) =

• A. 0.0
• B. 1
• C. 2

Answer 1

The correct option is A 0.0

If a polynomial is divisible by (x+1), then the sum of coefficients of even powers is equal to the sum of coefficients of odd powers.
$x^4+4x^3+3=x^4+4x^3+0x^2+0x+3$
Here also, 1+0+3 = 4+0
So, the given polynomial is divisible by x+1.
So, the remainder is 0.