Distribute and Factoring

Front

What is distribution in mathematics?

Back

Distribution is the process of multiplying a single term by two or more terms inside parentheses. For example, in 2(4X - 7), you distribute 2 to both 4X and -7.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac. It allows you to multiply a single term by each term inside parentheses.

Front

What does it mean to factor an expression?

Back

Factoring an expression means to break it down into simpler components (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 share. It is used in factoring expressions.

Front

How do you factor 10x + 15?

Back

The expression can be factored as 5(2x + 3) by taking out the GCF, which is 5.

Front

What is the factored form of -21x + 35?

Back

The factored form is -7(3x - 5), where -7 is the GCF.

Front

How do you factor 12s + 18r?

Back

You can factor it as 6(2s + 3r) by taking out the GCF, which is 6.

Front

What is the factored form of 12x + 9?

Back

The factored form is 3(4x + 3), where 3 is the GCF.

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 is a binomial?

Back

A binomial is a polynomial with exactly two terms, such as 3x + 5.