Factoring

Front

What is factoring in algebra?

Back

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

Front

What is the factored form of k² + 7k + 10?

Back

(k + 2)(k + 5)

Front

What is the first step in factoring by grouping?

Back

Group the terms in pairs and factor out the common factor from each pair.

Front

What is the factored form of 3x³ - x² + 6x - 2?

Back

(x² + 2)(3x - 1)

Front

What is the factored form of 3v² - 4v - 7?

Back

(3v - 7)(v + 1)

Front

What is the factored form of x² + 7x - 30?

Back

(x + 10)(x - 3)

Front

What is the factored form of 9x² + 9x - 10?

Back

(3x + 5)(3x - 2)

Front

What does it mean for an expression to be 'not factorable'?

Back

An expression is 'not factorable' if it cannot be expressed as a product of simpler expressions using real numbers.

Front

What is the significance of the zero product property in factoring?

Back

The zero product property states that if the product of two factors is zero, then at least one of the factors must be zero, which helps in solving equations.

Front

How do you factor a quadratic expression in the form ax² + bx + c?

Back

Look for two numbers that multiply to ac and add to b, then rewrite the expression using these numbers to factor by grouping.