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Add, subtract, multiply, divide and factor polynomials step-by-step
Frequently Asked Questions (FAQ)
What is a polynomial?
A polynomial is a mathematical expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, and multiplication. Polynomials are often written in the form: a₀ + a₁x + a₂x² + a₃x³ + ... + aₙxⁿ, where the a's are coefficients and x is the variable.
How do you identify a polynomial?
To identify a polynomial check that:
Polynomials include variables raised to positive integer powers, such as x, x², x³, and so on.
Polynomials involve only the operations of addition, subtraction, and multiplication.
Polynomials include constants, which are numerical coefficients that are multiplied by variables.
What are the types of polynomials terms?
The types of polynomial terms are:
Constant terms: terms with no variables and a numerical coefficient.
Linear terms: terms that have a single variable and a power of 1.
Quadratic terms: terms that have a single variable and a power of 2.
Cubic terms: terms that have a single variable and a power of 3.
Higher-order terms: terms that have a single variable and a power of 4 or higher.
Mixed terms: terms that have multiple variables with different powers.
How do you calculate a polynomial?
To calculate a polynomial, substitute a value for each variable in the polynomial expression and then perform the arithmetic operations to obtain the result.
What are monomial, binomial, and trinomial?
A monomial is a polynomial with a single term, a binomial is a polynomial with two terms, and a trinomial is a polynomial with three terms.