Classify polynomials by degree :
Here we are going to see how to classify polynomials by degree.
A polynomial of degree zero is called a constant polynomial.
General form : p(x) = c, where c is a real number.
A polynomial of degree one is called a linear polynomial.
General form : p(x) = ax+b, where a and b are real numbers and a ≠ 0.
A polynomial of degree two is called a quadratic polynomial.
General form: p(x) = ax2 + bx + c where a, b and c are real numbers and a ≠ 0.
A polynomial of degree three is called a cubic polynomial.
General form : p(x) = ax3 + bx2 + cx + d where a,b,c and d are real numbers and a ≠ 0.
Let us look into some example problems based on the concept.
Example 1 :
Classify the following polynomial based on degree
x3 - x2
Solution :
Degree of the given polynomial is 3.
Hence it is cubic polynomial.
Example 2 :
Classify the following polynomial based on degree
3x2 + 2x - 1
Solution :
Degree of the given polynomial is 2.
Hence it is quadratic polynomial.
Example 3 :
Classify the following polynomial based on degree
y + 3
Solution :
Degree of the given polynomial is 1.
Hence it is linear polynomial.
Example 4 :
Classify the following polynomial based on degree
4x3
Solution :
Degree of the given polynomial is 3.
Hence it is cubic polynomial.
Example 5 :
Classify the following polynomial based on degree
(5/2)y2 + 1
Solution :
Degree of the given polynomial is 2.
Hence it is quadratic polynomial.
Example 6 :
Classify the following polynomial based on degree
√3x + 1
Solution :
Degree of the given polynomial is 1.
Hence it is linear polynomial.
Example 7 :
Classify the following polynomial based on degree
7
Solution :
Degree of the given polynomial is 0.
Hence it is constant polynomial.
Example 8 :
Classify the following polynomial based on degree
y3 + 3y
Solution :
Degree of the given polynomial is 3.
Hence it is cubic polynomial.
After having gone through the stuff given above, we hope that the students would have understood "Classifying polynomials by degree".
Apart from the stuff given above, if you want to know more about "Classify polynomials by degree"
Apart from the stuff given on this web page, if you need any other stuff in math, please use our google custom search here.
Kindly mail your feedback to v4formath@gmail.com
We always appreciate your feedback.
©All rights reserved. onlinemath4all.com
May 05, 24 12:25 AM
May 03, 24 08:50 PM
May 02, 24 11:43 PM