Flashcards on Polynomials

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What is a polynomial?

A polynomial is an expression consisting of variables, coefficients, and exponents, combined using addition, subtraction, and multiplication operations.

What are the different types of polynomials?

The different types of polynomials include monomials, binomials, trinomials, and higher-degree polynomials.

What is the degree of a polynomial?

The degree of a polynomial is the highest power of the variable in the polynomial expression.

What is a constant term in a polynomial?

A constant term is a term in a polynomial that does not have a variable.

What is the leading coefficient of a polynomial?

The leading coefficient is the coefficient of the term with the highest power in a polynomial.

What is a zero or root of a polynomial?

A zero or root of a polynomial is a value that makes the polynomial equal to zero when substituted for the variable.

What is polynomial addition?

Polynomial addition refers to the process of adding two or more polynomials together.

What is polynomial subtraction?

Polynomial subtraction refers to the process of subtracting one polynomial from another.

What is polynomial multiplication?

Polynomial multiplication refers to the process of multiplying two or more polynomials together.

What is polynomial division?

Polynomial division refers to the process of dividing one polynomial by another.

What is long division of polynomials?

Long division of polynomials is a method used to divide one polynomial by another using a step-by-step process.

What is synthetic division of polynomials?

Synthetic division is a shortcut method for dividing polynomials by a linear binomial.

What is polynomial factoring?

Polynomial factoring involves expressing a polynomial as a product of its factors.

What is the remainder theorem?

The remainder theorem states that if a polynomial f(x) is divided by x-a, the remainder is equal to f(a).

What is the factor theorem?

The factor theorem states that if a polynomial f(x) has a factor of (x-a), then f(a) = 0.

What is a polynomial?

A polynomial is an expression consisting of variables, coefficients, and exponents, combined using addition, subtraction, and multiplication operations.

What are the different types of polynomials?

The different types of polynomials include monomials, binomials, trinomials, and higher-degree polynomials.

What is the degree of a polynomial?

The degree of a polynomial is the highest power of the variable in the polynomial expression.

What is a constant term in a polynomial?

A constant term is a term in a polynomial that does not have a variable.

What is the leading coefficient of a polynomial?

The leading coefficient is the coefficient of the term with the highest power in a polynomial.

What is a zero or root of a polynomial?

A zero or root of a polynomial is a value that makes the polynomial equal to zero when substituted for the variable.

What is polynomial addition?

Polynomial addition refers to the process of adding two or more polynomials together.

What is polynomial subtraction?

Polynomial subtraction refers to the process of subtracting one polynomial from another.

What is polynomial multiplication?

Polynomial multiplication refers to the process of multiplying two or more polynomials together.

What is polynomial division?

Polynomial division refers to the process of dividing one polynomial by another.

What is long division of polynomials?

Long division of polynomials is a method used to divide one polynomial by another using a step-by-step process.

What is synthetic division of polynomials?

Synthetic division is a shortcut method for dividing polynomials by a linear binomial.

What is polynomial factoring?

Polynomial factoring involves expressing a polynomial as a product of its factors.

What is the remainder theorem?

The remainder theorem states that if a polynomial f(x) is divided by x-a, the remainder is equal to f(a).

What is the factor theorem?

The factor theorem states that if a polynomial f(x) has a factor of (x-a), then f(a) = 0.

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