In Finding The Roots Of An Equation With Degree Greater Than 1, What Have You Noticed About The Number Of Roots? Can You Recall A Principle That Suppo

In finding the roots of an equation with degree greater than 1, what have you noticed about the number of roots? Can you recall a principle that supports this?

 

Polynomial Equation:

       In finding the roots of an equation whose degree is greater than 1, the number of roots of such equation is based on the highest degree of the exponent it contain. This is based on the principle that, "every polynomial equation of degree n has at most n real roots" which is a consequence of the Fundamental Theorem of Algebra.

Definition:

        A polynomial equation is any polynomial equated to zero.

Examples:

  • x - 2 = 0
  • x² + 2x + 5 = 0
  • 5x + 1 = 0
  • x³  - 2x² - 4x + 8 = 0
  • x(x - 4) = 0

Explanation:

x - 2 = 0 the number of root(s) is just 1 since it is a polynomial of the first degree.

x² + 2x + 5 = 0 the number of root(s) is 2 since it is a polynomial of the second degree.

5x + 1 = 0, there is only 1 root because it is a polynomial equation of the first degree.

x³  - 2x² - 4x + 8 = 0 have 3 roots since its highest degree is 3.

x(x - 4) = 0 have 2 roots because it is a polynomial equation of the second degree.

Code: 10.3.1.2.3

For more information regarding polynomial equations, go to the following links:

brainly.ph/question/236852

brainly.ph/question/1690308

brainly.ph/question/1671911


Comments

Post a Comment

Popular posts from this blog

Introduce The Term Atmosphere.

Introduce the term atmosphere.   Answer: The atmosphere is composed of a mixture of gases, solids and liquids. The atmosphere is made up of a mixture of atoms and molecules of different kinds. Contains mostly nitrogen, oxygen, carbon dioxide. These gases are constantly added and removed. The atmosphere is divided into five different layers because the atmosphere is not uniform therefore its properties change with altitude. It holds the oxygen we need to breathe. The Earth's atmosphere performs some optical tricks: The blue color of the sky. The white color of the clouds. The red sunrises/sunsets. The yellow sun. Aurora's Code 11.22.1.3. For additional information, you may refer to the following links: brainly.ph/question/1706461 brainly.ph/question/2133195 brainly.ph/question/30977
Read more

A Function F Is Given By F(4x-1) = 4x2+5. Evaluate F(15).

A function f is given by f(4x-1) = 4x2+5. Evaluate f(15).   Answer:905 would be the answer if the function were defined as f(x) = 4x^2+5: Step-by-step explanation: But the function is defined as f(4x-1) = 4x^2+5. To evaluate f(15), you need to determine the value of x that makes 4x-1 equal to 15. 4x-1 = 15 4x = 16 x = 4 THAT is the value you need to substitute into the expression 4x^2+5 to get the answer.
Read more

Who Were The Two Scientists Who Proposed The Theory Of Seafloor Spreading In The Early 1960s?, A. Charles Darwin And James Hutton, B. Harry Hess And R

Who were the two scientists who proposed the theory of seafloor spreading in the early 1960s? a. Charles Darwin and James Hutton b. Harry Hess and Robert Dietz c. John Butler and Arthur Smite d. f. Vine and d. Mathews   Answer: The correct answer is letter b. Harry Hess and Robert Dietz. Explanation: The two two scientists who proposed the theory of seafloor spreading in the early 1960s are Harry Hess and Robert Dietz. Harry Hess found out how oceanic mountain ranges, called oceanic ridges are essential to the tectonic movement that results in the drift of continents. Seafloor Spreading is the process that occurs at mid-ocean ridges wherein new oceanic crust is formed through volcanic activity and then gradually moves away from the ridge. According to this theory, the ocean floor is about a few hundred million years old, making it significantly younger than the continent. This supports the idea that molten rocks takes a long time to come out of volcanic-ally active oc
Read more