Factoring Quadratics

Front

What is factoring in mathematics?

Back

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

Front

What is a quadratic expression?

Back

A quadratic expression is a polynomial of degree 2, typically in the form ax² + bx + c.

Front

What does GCF stand for?

Back

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

Front

How do you find the GCF of 15n³ and 25n²?

Back

The GCF is 5n², as it is the highest factor common to both terms.

Front

Factor the expression: x² + 5x - 24

Back

(x + 8)(x - 3)

Front

What is the factored form of d² - 10d + 25?

Back

(d - 5)(d - 5) or (d - 5)²

Front

Factor the expression: 6x² + 9x

Back

3x(2x + 3)

Front

What is the factored form of 12x + 9?

Back

3(4x + 3)

Front

What is the difference of squares?

Back

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

Front

What is the first step in factoring a quadratic expression?

Back

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