Question

(i) f(x) = x2 + 3x² + 3x + 1, g(x) = x + 1​

Answer 1

Answer:

when x²+3x²= 4x²

4x²+3x+1 ÷x+1

Step-by-step explanation:

ans is 4x-1.

I think it is right.

pls Mark as brainlist ans

Answer 2

Factor Theorem :-

Let p(x) be a polynomial of

degree one or more than 1

and is a real number.

Then,

i) x - a, will be a factor of p(x),

if p(a) = 0,

Conversely,

ii) If x - a is a factor of p(x), then

p(a) = 0

Here,

F(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,

F(-1) = (-1)² + 3(-1)² + 3(-1) + 1

⇒ - 1 + 3 - 3 + 1

⇒ - 4 +4

⇒ 0

Therefore,

By Factor Theorem,

g(x) is a factor of F(x).