Question

PLZ HELP

What is the equation of this polynomial

You can give it in factored form


Thank you.
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Answer 1

(x+1)²(x-2)²

Explanation:

The shape of the graph means it is an even graph with degree of 4 or more. The factors come from the x-intercepts. Here they are (-1,0) and (2,0). So the factors are (x+1) and (x-2). Since both touch the x-axis but not cross, they have exponents of 2.

So the function is (x+1)²(x-2)².