Question

Show that x+1 is a factor of f(x)=x³+3x²+3x+1

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Answer 1

x+1=0

x=-1

f(x)=x³+3x²+3x+1

f(-1)=(-1)³+3(-1)²+3(-1)+1

= -1+3-3+1

f(-1)=0

since, f(-1)=0

therefore,

x+1 is a factor of f(x)

Answer 2

Answer:

Let p(x) be a polynomial of any degree and let alpha be any real number .If P(X) is divided by [ X- Alpha]then p {Alpha} equals to zero.

OR

In simple words, for being factor the term must be equal to zero when put in any given equation.....

Hope, it will help you....

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