Question

Algebra 2 Honors Polynomial Question?

Answer 1

The following graph shows a seventh-degree polynomial:

Answer 2

What are the above polynomial's zeros, along with its possible multiplicities?

Answer 3

The zeroes of a polynomial (real zeroes ) refer to the places where the graph intercepts the x-axis.

Answer 4

Each zero has a "multiplicity", which refers to the number of times that its associated factor appears in the polynomial.

Answer 5

For instance, the quadratic (x+3)(x-2 has the zeroes x = –3 and x = 2, each occuring once. The eleventh-degree polynomial (x + 3)^4*(x – 2)^7 has the same zeroes as did the quadratic, but in this case, the x = –3 solution has multiplicity 4 because the factor (x + 3) occurs four times (the factor is raised to the fourth power) and the x = 2 solution has multiplicity 7 because the factor (x – 2) occurs seven times.

Answer 6

Hope that helps, if you return to see that

Answer 7

Thank you very much, that was a good explanation. :)

Answer 8

welcome, anytime