Question

Check whether (x+1) is a factor of x^3+3^2+3x+1​

Answer 1

Answer:

(x+1) is a factor of x³+3x²+3x+1

Step-by-step explanation:

If (x+1) is factor of polynomial then ,

x = -1

When we replace x = -1 in polynomial then remainder should be zero, then only it will be factor.

Putting x = -1 in x³+3x²+3x+1

we get,

(-1)³+3(-1)²+3(-1)+1 = -1 + 3 - 3 +1 = 0

∴ (x+1) is a factor of x³+3x²+3x+1

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