Question

6. check whether x+ 1 is a factor of x^3+3x^2+3x+1 using factor theorem.​

Answer 1

Answer:

yes x+1 is a factor of the given equation because when we divide we get the remainder as zero

Answer 2

Step-by-step explanation:

$Put \: x + 1 = 0 \: \\ </p><p>So, x = - 1 \\ </p><p>Let \: p(x) = x^3+3x^2+3x+1 \\ so \: p( - 1) = {( - 1)}^{3} + 3 {( - 1)}^{2} + 3( - 1) + 1 \\ = - 1 + 3 - 3 + 1 = 0$

Hence, x + 1 is a factor of p(x).