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**1. Homework Statement**

y=a0+a1x+a2x^2+a3x^3+a4x^4+a5x^5

(a0,a1.....,a5, are fixed real numbers) passes through the points

(-2,21), (-1,7), (0,-10), (1,-8), (2,20), (3,9)

Question: Write down a 6x6 matrix A such that;

... .a0..... .....21

. . .a1..... .....7

. . .a2...... .....-10

A . ..a3.. .= .....-8

. . .a4..... .....20

. .a5..... .....9

**3. The Attempt at a Solution**

I am unsure how to start this question. Do i substitute the points?

Any assistance would be obliged.

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