Question

Give one example of a polynomial of degree 4 that has a zero at x=5 with multiplicity 2

Answer 1

9514 1404 393

Answer:

  y = (x -5)^2(x^2 +1)

Step-by-step explanation:

The zero at x=5 means that (x-5) is a factor. The multiplicity of 2 means that factor occurs twice (is squared). The remaining 2nd degree factor can be anything. In this equation, we have elected to make it have complex zeros.

  y = (x -5)^2(x^2 +1)