Factoring Review

Front

What is factoring in mathematics?

Back

Factoring is the process of breaking down an expression into a product of simpler factors that, when multiplied together, give the original expression.

Front

What is the area of a rectangle?

Back

The area of a rectangle is calculated by multiplying its length by its width.

Front

What is the greatest common factor (GCF)?

Back

The GCF of two or more numbers is the largest number that divides all of them without leaving a remainder.

Front

How do you factor a quadratic expression?

Back

To factor a quadratic expression of the form ax^2 + bx + c, find two numbers that multiply to ac and add to b, then rewrite the expression using these numbers.

Front

What does it mean to factor completely?

Back

Factoring completely means breaking down an expression into its simplest factors, including prime factors.

Front

What is a polynomial?

Back

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

Front

How do you find the GCF of variables?

Back

To find the GCF of variables, take the lowest power of each variable present in all terms.

Front

What is the factored form of x^2 - 9?

Back

The factored form of x^2 - 9 is (x - 3)(x + 3).

Front

What is the difference of squares?

Back

The difference of squares is a special factoring case where a^2 - b^2 can be factored as (a - b)(a + b).

Front

How do you factor by grouping?

Back

To factor by grouping, group terms with common factors, factor out the common factors, and then factor out the common binomial.