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

It means that the leading coefficient of the quadratic expression is greater than 1, which affects how we factor the expression.

Front

What is a quadratic expression?

Back

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

Front

How do you factor a quadratic expression when a > 1?

Back

To factor a quadratic expression when a > 1, look for two numbers that multiply to ac (a times c) and add to b.

Front

Factor the expression: 3a² + 4a + 1

Back

(3a + 1)(a + 1)

Front

Factor the expression: 4h² − 17h + 4

Back

(h − 4)(4h − 1)

Front

Factor the expression: 2x² − 13x − 70

Back

(2x + 7)(x − 10)

Front

Factor the expression: 3v² − 4v − 7

Back

(3v − 7)(v + 1)

Front

Factor the expression: 5x² − 28x + 32

Back

(5x − 8)(x − 4)

Front

What is the first step in factoring a quadratic expression?

Back

Identify the coefficients a, b, and c in the expression ax² + bx + c.