write a polynomial of degree 3
Answers
Answer:
Third degree polynomials are also known as cubic polynomials. They have 3 characteristics
1.One of three roots
2. 2 or 3 extrema
3.Roots are soluble by radicals
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A polynomial of degree 3 is x³ + 1
Given :
Polynomial
To find :
A polynomial of degree 3
Solution :
Step 1 of 2 :
Define polynomial
Polynomial is a mathematical expression consisting of variables, constants that can be combined using mathematical operations addition, subtraction, multiplication and whole number exponentiation of variables
Step 2 of 2 :
Find an polynomial of degree 3
Degree of a polynomial is defined as the highest power of its variable that appears with nonzero coefficient
Let x be variable involved
Since we have to find a polynomial of degree 3
So highest power of its variable that appears with nonzero coefficient must be 3
Hence a polynomial of degree 3 is x³ + 1
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