Question

Use the factor theorem to determine whether g(x) is a factor of f(x) in each of the following cases:.
(i) f(x)=x^3+3x^2+3x+1, g(x)= x+1

Answer 1

Step-by-step explanation:

Required Answer:-

• If g (x)=x+1 then x=-1
• and p (-1)=0

$\longrightarrow$${-1}^{3}+3 (-1){}^{2}+3×-1+1=0$

$\longrightarrow$$-1+3×1-3+1=0$

$\longrightarrow$$-1+1-3+3=0$

$\longrightarrow$$0=0$

$\longrightarrow$$P (x)=0$

• Hence it is a factor

Answer 2

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