Find a polynomial function of degree 3 with real coefficients that satisfies the given conditions.
Zero of - 4 having multiplicity 3; f(1) = 25.
Here is the detailed answer for the question.
Given that zero to -4 having multiplicity 3
So, f(x)=a(x+4)^3
we know that f(1)=25
placing x value as 1
f(1)=a(1+4)^3
25=125a
a=1/5
So, the polynomial with degree 3 is f(x)=((x+4)^3)/5
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