(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

what the questions asks is that i need to find the equation of a polynomial with these given points:

1,1

2,-3

3,5

4,37

5,105

i know that one way to solve is by creating 5 equations then solve for ax^3+bx^2+cx+d using the elimination/substitution method.

however is there another, much easier way of doing this question?

2. Relevant equations

ax^3+bx^2+cx+d

3. The attempt at a solution

1= a+b+c+d

-3=8a+4b+2c+d

5= 27a+9b+3c+d

37=64a+16b+4c+d

108=125a+25b+5c+d

fixed, yes, my mistake

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# Homework Help: How do you find the equation of a Cubic function given 5 points? (no zeros)?

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