Factoring Expressions

Front

What is factoring in algebra?

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 does it mean to factor out a common term?

Back

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

Front

Factor the expression: -8x^2 + 24x

Back

-4x(2x - 6)

Front

Factor the expression: 8w^3 + 16w^2 + 4w

Back

4w(2w^2 + 4w + 1)

Front

Factor the expression: 6m + 2n - 14

Back

2(3m + n - 7)

Front

Factor the expression: 17xy - x

Back

x(17y - 1)

Front

Factor the expression: \frac{1}{2}x - 12

Back

\frac{1}{2}(x - 24)

Front

What is a coefficient in an algebraic expression?

Back

A coefficient is a numerical factor that multiplies a variable in an algebraic expression.

Front

What is a polynomial?

Back

A polynomial is a mathematical expression that consists of variables, coefficients, and non-negative integer exponents.

Front

What is the difference between a monomial and a binomial?

Back

A monomial is an expression with one term, while a binomial is an expression with two terms.