Question

In: Advanced Math

Find a polynomial of the form f(x) = ax3 + bx2 + cx + d such...

Find a polynomial of the form f(x) = ax3 + bx2 + cx + d such that f(0) = −3, f(1) = 2, f(3) = 5, and f(4) = 0. (A graphing calculator is recommended.)

answer in fraction form.

Solutions

Expert Solution

f(0) = −3

.

.

f(1) = 2

.

.

f(3) = 5

.

.

f(4) = 0.

.

.

total 4 equations we have

system Ax=b is

augmented matrix is

solution is

polynomial is


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