## What is the multiplicity of a root?

The roots of an algebraic equation may or may not all be distinct. The number of times that the same** source** appears indicates your** multiplicity** .

## What is a simple root?

In general, we say that r is a** source** of multiplicity n, with n ≥ 1, of the equation p(x) = 0, if: ... Write an algebraic equation of minimum degree such that 2 is** source** double and – 1,** simple root** .

## What is the multiplicity of root 2 of the polynomial?

Response. Answer: Step-by-step explanation: Using Briot - Ruffini, we see that A(x) = x⁴ + 8x³ + 23x² + 28x + 12 has as** source** -** two** , that has** multiplicity 2** , as you can see in the images 1,** two** and 3 attached.

## What is the multiplicity of root 2 of the polynomial x4 5x3 6x2 4x 8?

76.** Root Multiplicity** Example: What is the** root 2 multiplicity of the polynomial** p(x) =** x4** –** 5x3** +** 6x2** +** 4x** –** 8** ? 1 -5 6 4 -82 1 -3 0 4 02 1 -1 -** two** 02** two** 1 1 0 1 3 no Soon, the** root 2** have** multiplicity** 3. 78.

## How to use Briot Ruffini Device?

Using the** device** practical of** Briot** -** Ruffini** , divide the polynomial P(x) = 3x3 + 2x2 + x +5 by the binomial D(x) = x +1. Step 1 – Draw two straight lines, one horizontally and one vertically. The number –1 is the root of the divisor and therefore the divisor is D(x) = x + 1.

## What is the smallest degree that can have an equation that has roots 2 3i 1 I?

{** two** ,** 3i** , -** 3i** ,** 1** + i,** 1** – i}. as there are five** roots** , The** minor degree** by the fundamental theorem of algebra, it will be 5.

## What is the smallest degree that an equation with real coefficients can have that admits?

Answer: the** lowest degree that can have** That** equation** would be 6.

## What determines the degree of an equation?

THE** degree of an equation** is related to the number of unknowns it has. We say that a** equation** it's from** degree** 1 when the greatest exponent of its unknowns is 1. A** equation** it has** degree** 2 when the greatest exponent of your unknowns is 2, and so on.

## What are the characteristics of a 1st degree equation?

** first degree equation** is an open sentence that expresses equality. Its reduced form is represented by ax + b = 0, where a and b** are** real numbers other than 0 (zero) and x is an unknown value.

## What is the definition of 1st degree equation?

One** first degree equation** is an expression in which the** degree** of the unknown is** 1** , that is, the exponent of the unknown is equal to** 1** .