Classify the given polynomial x²- 2x + 1 as: a) linear polynomial b) quadratic polynomial c) cubic polynomial d) non of these
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Answer:
linear polynomial is the answer of this question
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What is a polynomial ?
An expression of more than two algebraic terms, especially the sum of several terms that contain different powers of the same variable(s).
Types of polynomials :
⟶Based on the number of terms in a polynomial, there are 3 types of polynomials. They are
- monomial ( 1 term )
- binomial ( 2 terms )
- trinomial. ( 3 terms )
⟶Based on the degree of a polynomial, they can be categorized as
- zero or constant polynomials ( highest degree = 0 )
- linear polynomials ( highest degree = 1 )
- quadratic polynomials ( highest degree = 2 )
- cubic polynomials ( highest degree = 3 )
Solution :
x²- 2x + 1 is a quadratic polynomial.
This is because it has degree = 2
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