CLASSIFY POLYNOMIALS BY DEGREE
Constant Polynomial
A polynomial of degree zero is called a constant polynomial.
General form : p(x) = c, where c is a real number.
Linear Polynomial
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.
Quadratic Polynomial
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.
Cubic Polynomial
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.
Related topics
- Classifying polynomials based on number of terms
- Classifying polynomials by degree worksheet
- Classifying polynomials based on number of terms worksheet
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