Factoring Expressions

Front

What is factoring in mathematics?

Back

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

Front

What is the greatest common factor (GCF)?

Back

The GCF is the largest factor that two or more numbers have in common.

Front

How do you factor the expression 15x + 50xy?

Back

5x(3 + 10y)

Front

What is the factored form of 6n^3 - 9n^2 + 12n?

Back

3n(2n^2 - 3n + 4)

Front

How do you factor the expression 2x - 8?

Back

2(x - 4)

Front

What is the factored form of 9x + 12?

Back

3(3x + 4)

Front

How do you factor the expression -8x^2 + 26x?

Back

2x(-4x + 13)

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

What does it mean to factor by grouping?

Back

Factoring by grouping involves rearranging and grouping terms in a polynomial to factor out common factors.

Front

What is a binomial?

Back

A binomial is a polynomial with exactly two terms.