what is the standard form of polynomial function f(x) having a positive leading coefficient and an odd degree with roots 0, 1 of multiplicity 2, 3 of 2?
Answers
Given : polynomial function f(x) having a positive leading coefficient and an odd degree with roots 0, 1 of multiplicity 2, 3
To Find : Standard form of polynomial function f(x)
Solution:
Standard form of polynomial function f(x)
root 0 , multiplicity 2
root 1 , multiplicity 3
f(x) = (x - 0)² (x - 1)³
= x² (x³ -3x² + 3x - 1)
= x⁵ - 3x⁴ + 3x³ - x²
Standard form of polynomial function f(x)
= x⁵ - 3x⁴ + 3x³ - x² + 0.x + 0
f(x) = x⁵ - 3x⁴ + 3x³ - x² + 0.x + 0
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