Answered

Write a polyomial equation of degree 4 that has the following roots: -1 repeated three times and 4.

Answer :

MRROYALGO

The polynomial equation is P(x) = (x + 1)(x + 1)(x + 1)(x - 4)

How to determine the polynomial?

The given parameters are:

  • Degree = 4
  • Roots = -1 (three times) and 4

A polynomial equation is represented as:

P(x) = (x- Root)

So, we have:

P(x) = (x - (-1))(x - (-1))(x - (-1))(x - 4)

Open the inner brackets

P(x) = (x + 1)(x + 1)(x + 1)(x - 4)

Hence, the polynomial equation is P(x) = (x + 1)(x + 1)(x + 1)(x - 4)

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