Number 4, write an inequality that represents the graphs.

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Ответ:

lokiliddel

26.02.2021

Mathematics

P(x)=x^5 - 12 x^3 + 16 x^2

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

(x-2)^2

Roots of multiplicity 2 at x = 0

(x-0)^2 is x^2

Roots of multiplicity 1 at x = -4

(x-(-4))^1 is x+4

multiply all the factors

$P(x)= (x-2)^2 \cdot x^2 \cdot (x+4)$

P(x)= x^2(x-2)^2 (x+4)

P(x)= x^2(x^2-4x+4) (x+4)

P(x)=x^5 - 12 x^3 + 16 x^2

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