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Which polynomial function has a leading coefficient of 2, root –4 with multiplicity 3, and root 10 with multiplicity 1? f(x) = 2(x – 4)(x – 4)(x – 4)(x 10) f(x) = 2(x 4)(x 4)(x 4)(x – 10) f(x) = 3(x – 4)(x – 4)(x 10) f(x) = 3(x 4)(x 4)(x – 10)

Respuesta :

MrRoyal

The equation of the polynomial function is f(x) = 2(x + 4)(x + 4) (x + 4)(x -10)

How to determine the polynomial function?

The given parameters are:

  • Leading coefficient, n = 2
  • Root = -4; Multiplicity = 3
  • Root = 10; Multiplicity = 1

The polynomial function is represented as:

f(x) = n * (x - root)^multiplicity

So, we have:

f(x) = 2 *(x + 4)^3 * (x -10)^1

This gives

f(x) = 2(x + 4)(x + 4) (x + 4)(x -10)

Hence, the equation of the polynomial function is f(x) = 2(x + 4)(x + 4) (x + 4)(x -10)

Read more about polynomial functions at:

https://brainly.com/question/2833285

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