2. Introduction To Polynomials
A polynomial is an algebraic expression consisting of variables,
coefficients, and exponents.
Examples of polynomials:
•2x - 56
•3x^2 - 2x + 1
•4x^3 + 7x^2 - 5x + 2
3. Terms in a Polynomial
Coefficients: Numeric values that multiply the variables
Variables: Symbols representing unknown quantities
Exponents: Powers to which the variables are raised
Examples :
• 3x^2 ( coefficient = 3, variable = x, exponent = 2 )
• -2x ( coefficient = -2, variable = x, exponent = 1 )
• 1 ( coefficient = 1, variable = none, exponent = 0 )
4. Types Of Polynomials
Monomial: A polynomial with only one term ( Eg : 9x )
Binomial: A polynomial with two terms ( Eg : 3 + 4a )
Trinomial: A polynomial with three terms ( Eg : 12a -3 + xy )
Multinomial: A polynomial with more than three terms ( Eg : 3xy – 14 + a^2 + 2x )
5. Degree of a Polynomial
The highest exponent in a polynomial is called the degree of a
polynomial. Polynomials are classified by different types of degrees :
•Degree 0: Constant polynomial
•Degree 1: Linear polynomial
•Degree 2: Quadratic polynomial
•Degree 3: Cubic polynomial
•Degree n: n is the highest exponent
Examples of polynomial degrees :
• 2x^3 - 5x^2 + 3 (degree = 3)
•4x^2 + 2x - 1 (degree = 2)
•5x + 2 (degree = 1)
•4 (degree = 0)
6. Polynomial Operations
•Addition: Adding like terms
•Subtraction: Subtracting like terms
•Multiplication: Distributing and combining like terms
•Division: Dividing polynomials using long division or
sssssssssssssss synthetic division
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