x3-x2-(3-√3)x+√3 following polynomials has X+1 has a factor
Answers
Given : polynomial x³-x²-(3-√3)x+√3
To Find : Check polynomials has x+1 as a factor or not
Solution:
If x+1 is a factor of polynomial x³-x²-(3-√3)x+√3
Then x = - 1 will result in 0
Substitute x = - 1 in x³-x²-(3-√3)x+√3
= (-1)³ -(-1)² -(3-√3)(-1) +√3
= - 1 - 1 + 3 - √3 + √3
= 1 ≠ 0
Hence x + 1 is not a factor of polynomial x³-x²-(3-√3)x+√3
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