Determine which of the following polynomials has x +1 a factor.
a) 2x³ - 3x² + 2x - 3 (b) 3x² + x - 1
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Answer:
[ x + 1
x = -1 ]
2x³ - 3x² + 2x - 3
= 2(-1)³ - 3(-1)² + 2(-1) - 3
= 2(-1) - 3(1) + 2(-1) - 3
= -2 - 3 - 2 - 3
= -10
x+1 is not a factor of the polynomial given above
3x² + x - 1
= 3(-1)² + (-1) -1
= 3(1) -2
= 3 - 2
= 1
x+1 is not a factor of the polynomial given above
Therefore, both the polynomials are not satisfied
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