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 factored form of 6m + 2n - 14?

Back

2(3m + n - 7)

Front

What is the factored form of 8xy - 16y + 27x²y?

Back

y(8x - 16 + 27x²)

Front

What is the factored form of 9x + 12?

Back

3(3x + 4)

Front

What is the factored form of 5x - 25?

Back

5(x - 5)

Front

What is the factored form of -8x² + 26x?

Back

2x(-4x + 13)

Front

What does it mean to factor out a common term?

Back

Factoring out a common term means identifying a term that is present in all parts of an expression and rewriting the expression as a product of that term and another expression.

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 the difference between a monomial, binomial, and trinomial?

Back

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

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, meaning you can distribute a factor across a sum.