The expression in factored form for the polynomial of least possible degree graphed will be y(x) = (x + 3)(x + 2 )(x - 1 )(x - 3 )
How to factor the polynomial?
From the graph, the zeros of the polynomial of given graph are:
x = -3
x = -2
x = 1
x = 3
Equate the above equations to zero
x + 3 = 0
x + 2 = 0
x - 1 = 0
x - 3 = 0
Multiply the equations
(x + 3)(x + 2 )(x - 1 )(x - 3 ) = 0
Express as a function gives;
y = (x + 3)(x + 2 )(x - 1 )(x - 3 )
Hence, the factored form of the polynomial will be y = (x + 3)(x + 2 )(x - 1 )(x - 3 )
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