Solving polynomials by factoring

Front

What is a polynomial?

Back

A polynomial is a mathematical expression that consists of variables, coefficients, and non-negative integer exponents, combined using addition, subtraction, and multiplication.

Front

What does it mean to factor a polynomial?

Back

Factoring a polynomial means expressing it as a product of its factors, which are polynomials of lower degrees.

Front

What are the zeroes of a polynomial?

Back

The zeroes of a polynomial are the values of the variable that make the polynomial equal to zero.

Front

How do you find the zeroes of a polynomial?

Back

To find the zeroes of a polynomial, set the polynomial equal to zero and solve for the variable.

Front

What is the factored form of a polynomial?

Back

The factored form of a polynomial is an expression that shows the polynomial as a product of its factors.

Front

What is the relationship between the degree of a polynomial and its number of zeroes?

Back

The degree of a polynomial indicates the maximum number of zeroes it can have, counting multiplicities.

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What is the difference between a monomial, binomial, and trinomial?

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A monomial has one term, a binomial has two terms, and a trinomial has three terms.

Front

What is the process of polynomial long division?

Back

Polynomial long division is a method used to divide a polynomial by another polynomial, similar to long division with numbers.

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What is synthetic division?

Back

Synthetic division is a simplified form of polynomial long division that is used when dividing by a linear factor.

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What is the Remainder Theorem?

Back

The Remainder Theorem states that the remainder of the division of a polynomial f(x) by (x - c) is equal to f(c).