## jbeloy17 one year ago Find the polynomial of degree 4 whose graph goes through the points (-3, -188), (-2, -35), (0, 7), (1, 16), and (2, 17).

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1. jbeloy17

(-3, -188), (-2, -35), (0,7), (1, 16), and (2, 17) there we go lol

2. zepdrix

Hmmmm

3. zepdrix

I'm not sure if this is the best approach, but here's one idea... Since it passes through (0,7), it has a y-intercept of 7.$\Large\bf y=ax^4+bx^3+cx^2+dx+7$

4. zepdrix

We can setup a system of equations using the other points provided.$\Large (1,16):$$\Large\bf 16=a+b+c+d+7$Then another point gives us:$\Large\bf (2,17):$$\Large \bf 17=a2^4+b2^3+c2^2+d2+7$

5. zepdrix

And so on :o