Factoring a=1

Front

What is factoring in algebra?

Back

Factoring is the process of breaking down an expression into a product of simpler expressions, called factors.

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is ax² + bx + c, where a, b, and c are constants.

Front

What does it mean for a quadratic to be factorable?

Back

A quadratic is factorable if it can be expressed as a product of two binomials.

Front

What is the relationship between the roots of a quadratic and its factors?

Back

The roots of a quadratic equation correspond to the values of x that make the factors equal to zero.

Front

How do you find the factors of n² - 13n + 40?

Back

To factor n² - 13n + 40, look for two numbers that multiply to 40 and add to -13. The factors are (n - 5)(n - 8).

Front

What is the factored form of (x - 3)(x - 3)?

Back

The factored form is (x - 3)².

Front

How do you factor k² - 2k - 24?

Back

To factor k² - 2k - 24, find two numbers that multiply to -24 and add to -2. The factors are (k + 4)(k - 6).

Front

What is the factored form of r² - 16r + 60?

Back

The factored form is (r - 6)(r - 10).

Front

What is the zero product property?

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.

Front

How do you check if your factors are correct?

Back

To check if your factors are correct, multiply them back together to see if you get the original expression.