Factoring Expressions

Front

What is factoring in mathematics?

Back

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

Front

What is a common factor?

Back

A common factor is a number or expression that divides two or more numbers or expressions without leaving a remainder.

Front

How do you factor out the greatest common factor (GCF)?

Back

To factor out the GCF, identify the largest factor that is common to all terms in the expression and divide each term by this factor.

Front

Factor the expression: -8x² + 26x

Back

2x(-4x + 13)

Front

Factor the expression: 6m + 2n - 14

Back

2(3m + n - 7)

Front

Factor the expression: -10m - 35mn

Back

-5m(2 + 7n)

Front

Factor the expression: 60x²y - 3xy

Back

3xy(20x - 1)

Front

Factor the expression: 4v² + 12v⁵ + 8v⁷ + 16v⁸

Back

4v²(1 + 3v³ + 2v⁵ + 4v⁶)

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.