SOLUTION: Find a polynomial of the form f(x)= ax^3+bx^2+cx+d such that f(0)=-5, f(-1)=-6, f(3)=4, and f(4)=-4.

SOLUTION: Find a polynomial of the form f(x)= ax^3+bx^2+cx+d such that f(0)=-5, f(-1)=-6, f(3)=4, and f(4)=-4.

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Question 1206114: Find a polynomial of the form
f(x)= ax^3+bx^2+cx+d
such that f(0)=-5, f(-1)=-6, f(3)=4, and f(4)=-4.
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

if
=> and

.....eq.1
so far we have

=> and

....solve for
.....eq.2

=> and

....solve for

.....eq.3

=> and

.......eq.4

from eq.2 and eq.3 we have
....solve for
.....eq.5

from eq.2 and eq.4 we have

.....eq.6

from eq.5 and 6 we have
...solve for

go to eq.5, substitute
.....eq.5

go to eq.2, substitute , and
.....eq.2

your function is

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