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 when a quadratic is factorable?

Back

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

Front

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

Back

(k + 2)(k + 5)

Front

What is the factored form of k² - 2k - 24?

Back

(k + 4)(k - 6)

Front

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

Back

(x + 10)(x - 3)

Front

What is the factored form of x² - 25?

Back

(x + 5)(x - 5) (Difference of squares)

Front

What is the difference of squares?

Back

The difference of squares is a special factoring pattern: a² - b² = (a + b)(a - b).

Front

How do you find the factors of a quadratic expression?

Back

To find the factors, look for two numbers that multiply to 'c' and add to 'b' in the expression ax² + bx + c.

Front

What is a binomial?

Back

A binomial is a polynomial with two terms, such as (x + 3) or (k - 5).