The equation that describes the given polynomial is:
P(x) = x²*(x - 2)²*(x + 2)
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How to find the equation for the polynomial?</h3>
Remember that a polynomial with a leading coefficient A and roots:
x₁, x₂, x₃,...,xₙ
The equation that describes the polynomial is:
P(x) = a*(x - x₁)*(x - x₂)*...*(x - xₙ)
In this case, we know that the leading coefficient is 1, and the roots are:
2, 2, 0, 0, -2.
(the first two appear two times because have a multiplicity of two).
Then we can write the equation of the polynomial as:
P(x) = 1*(x - 2)*(x - 2)*(x - 0)*(x - 0)*(x + 2)
P(x) = x²*(x - 2)²*(x + 2)
Learn more about polynomials:
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Answer:
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Answer:
abcdefghijklmnopqrstuv
Step-by-step explanation:
