# How do you find the lowest degree of a polynomial?

## How do you find the lowest degree of a polynomial?

If a polynomial of lowest degree p has zeros at x=x1,x2,…,xn x = x 1 , x 2 , … , x n , then the polynomial can be written in the factored form: f(x)=a(x−x1)p1(x−x2)p2⋯(x−xn)pn f ( x ) = a ( x − x 1 ) p 1 ( x − x 2 ) p 2 ⋯ ( x − x n ) p n where the powers pi on each factor can be determined by the behavior of the graph …

### What is the smallest degree of a polynomial?

5
The minimum possible degree is 5.

#### What order do polynomials go in?

In general, polynomials are written with its terms being ordered in decreasing order of exponents. The term with the largest exponent goes first, followed by the term with the next highest exponent and so on till you reach a constant term.

Which is the graph of a polynomial function?

The graphs of several polynomials along with their equations are shown. Polynomial of the first degree. Polynomial of the second degree. Polynomial of the third degree. Polynomial of the fourth degree. Polynomial of the fifth degree.

Which is the minimum degree of a polynomial?

The minimum possible degree is 5. Given that a polynomial is of degree six, which of the following could be its graph? To answer this question, I have to remember that the polynomial’s degree gives me the ceiling on the number of bumps. In this case, the degree is 6, so the highest number of bumps the graph could have would be 6 – 1 = 5.

## Which is the correct order of a polynomial?

the order of the polynomial considered as a power series, that is, the degree of its non-zero term of lowest degree; or the order of a spline, either the degree+1 of the polynomials defining the spline or the number of knot points used to determine it. This disambiguation page lists mathematics articles associated with the same title.

### Is the graph D A 6th degree polynomial?

Graph D: This has six bumps, which is too many; this is from a polynomial of at least degree seven. On top of that, this is an odd-degree graph, since the ends head off in opposite directions. So this can’t possibly be a sixth-degree polynomial.