Question

Find the remainder when x^3x^2+4x+6is divided by x+1

Answer 1

Answer:

Given:

•  Polynomial x³ + x²+4x+6

• and dividend x+1

Solving Question:

  We are given the polynomial and the dividend, we are requested to find the remainder.

According  to the remainder theorem we have to substitute the value of x in the polynomial and the resulting value is the remainder.

Solution:

  x + 1 = 0

or, x = -1

substitute the value in the polynomial.

x³ + x²+4x+6

⇒ (-1)³ + (-1)² + 4(-1) +6

⇒ -1 + 1 -4 +6

→ 2

Thus, the remainder when x³ +x²+4x+6 is divided by x+1 is 2