The polynomial of degree 5, p ( x ) has leading coefficient 1, has roots of multiplicity 2 at x = 2 and x = 0 , and a root of multiplicity 1 at x = − 4 find a possible formula for p ( x ) .

Step-by-step explanation:

P ( x ) has leading coefficient 1

Root of multiplicity n at x= a can be written in factor form (x-a)^n

Roots of multiplicity 2 at x = 2

Roots of multiplicity 2 at x = 0

is

Roots of multiplicity 1 at x = -4

is

multiply all the factors

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step-by-step explanation:

5

step-by-step explanation: