## 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 .

What is the multiplicity of a root?