Question

CAN SOMEONE PLEASE EXPLAIN THIS FOR ME PLEASE HELP

Answer 1

The equation that describes the given polynomial is:

P(x) = x²*(x - 2)²*(x + 2)

How to find the equation for the polynomial?

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:

brainly.com/question/4142886

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