Question

Lüt p(x) = x³+ 3x²+3x + 1, g(x)=x+1​

Answer 1

Answer:

x²+2x+1

Step-by-step explanation:

If you want to find the quotient then this is your answer

Answer 2

Step-by-step explanation:

let p(x) is the polynomial of degree one or more than one

a is a real number

1. (x-a) will be factor of p(x)

if p(a)= 0

p(x) = x³+ 3x²+3x + 1,

g(x)=x+1

g(x)=0

• x+1=0

• x=-1,

therefore ,

zero of g(x) is -1

now,

p(-1)=( -1)^3+ 3(-1)^2 + 3(-1) +1

= -1 + 3 -3 + 1

= -4 + 4

= 0

therefore,

by factor theorem ,

g(x) is a factor of p(x)