Factoring when 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 does it mean when a=1 in factoring?

Back

When a=1, the quadratic expression is in the form x² + bx + c, making it simpler to factor.

Front

What is the first step in factoring a quadratic expression?

Back

Identify two numbers that multiply to 'c' (the constant term) and add to 'b' (the coefficient of x).

Front

Factor the expression: x² + 5x + 6

Back

(x + 2)(x + 3)

Front

What is the GCF (Greatest Common Factor)?

Back

The GCF is the largest factor that divides two or more numbers or expressions.

Front

How do you factor out the GCF from an expression?

Back

Divide each term of the expression by the GCF and write it outside the parentheses.

Front

Factor the expression: 2x² + 8x

Back

2x(x + 4)

Front

What is a quadratic expression?

Back

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

Front

Factor the expression: x² - 9

Back

(x - 3)(x + 3) (This is a difference of squares.)

Front

What is the difference of squares?

Back

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