Asked by Trish Goal
Suppose f is a polynomial such that
f(0)=47, f(1)=32,f(2)=-13,
and f(3)=16. what is the sum of the coefficients of f?
f(0)=47, f(1)=32,f(2)=-13,
and f(3)=16. what is the sum of the coefficients of f?
Answers
Answered by
Steve
First, note that the degree of f must be 3. If higher, there are many possible polynomials which will fit the four points.
If f(x) = ax^3+bx^2+cx+d
d = 47
a+b+c+d = 32
8a+4b+2c+d = -13
27a+9b+3c+d = 16
a+b+c+d = 32
If f(x) = ax^3+bx^2+cx+d
d = 47
a+b+c+d = 32
8a+4b+2c+d = -13
27a+9b+3c+d = 16
a+b+c+d = 32
Answered by
Kiki Mendes
all I know is that it's NOT -15... believe me I tried lol
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