Question

On dividing x3 + 3x2 + 3x + 4 by x
1. x2 + x + 1, 3
2. x2 + 2x +1, 3
3. x3 + 2x + 1, 2
4. x2 - 2x + 1, 3
choose one ans who is correct i mark you brainleist​

Answer 1

Answer:

Correct option is 4. x²-x+1

Step-by-step explanation:

Dividend =p(x)=x

3

−3x

2

+x+2

Quotient =q(x)=x−2

Remainder =r(x)=2x+4

By division algorithm, p(x)=q(x)g(x)+r(x)

⇒g(x)=

q(x)

p(x)−r(x)

⇒g(x)=

x−2

x

3

−3x

2

+x+2+2x−4

⇒g(x)=

x−2

x

3

−3x

2

+3x−2

So, g(x)=x

2

−x+1