Factoring Quadratics

Front

What is factoring in mathematics?

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 a quadratic expression?

Back

A quadratic expression is a polynomial of degree 2, typically in the form ax² + bx + c, where a, b, and c are constants.

Front

What does GCF stand for in factoring?

Back

GCF stands for Greatest Common Factor, which is the largest factor that divides two or more numbers.

Front

How do you factor a quadratic expression?

Back

To factor a quadratic expression, find two numbers that multiply to give the product of 'a' and 'c' (from ax² + bx + c) and add to give 'b'.

Front

Factor the expression: 5n² - 6n - 27

Back

(5n + 9)(n - 3)

Front

Factor the expression: x² + 11x + 24

Back

(x + 8)(x + 3)

Front

What is the first step in factoring a trinomial?

Back

The first step is to identify the coefficients a, b, and c in the trinomial ax² + bx + c.

Front

Factor the expression: 2x² - 7x + 6

Back

(x - 2)(2x - 3)

Front

What is the purpose of factoring a polynomial?

Back

Factoring a polynomial simplifies expressions and helps in solving equations by finding the roots.

Front

Factor the expression: x² - 10x + 24

Back

(x - 6)(x - 4)