The polynomial is given by f(x) = 9(4x − 3)² (3x - 1) .
<h3>What is a Polynomial ?</h3>
A polynomial is an expression that consists of indeterminate , Coefficients , exponents and mathematical operations.
It is given that
The zero of the function is at 3/4 with multiplicity of 2 = (x - 3/4)²
The zero of the function is at 1/3 with multiplicity of 1 = (x - 1/3)
The polynomial can be written as
f(x) = a (4x − 3)² (3x - 1)
-81 = a (0 − 3)² (0 -1)
a = 9
f(x) = 9(4x − 3)² (3x - 1)
Therefore the polynomial is given by f(x) = 9(4x − 3)² (3x - 1) .
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