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

Factor the expression: 2x² − 13x − 70

Back

(2x + 7)(x − 10)

Front

Factor the expression: 9x² − 6x − 8

Back

(3x + 2)(3x − 4)

Front

Factor the expression: 5x² − 13x + 6

Back

(5x − 3)(x − 2)

Front

Factor the expression: 3v² − 4v − 7

Back

(3v − 7)(v + 1)

Front

Factor the expression: 3a² + 4a + 1

Back

(3a + 1)(a + 1)

Front

What is the first step in factoring a quadratic expression?

Back

Identify the leading coefficient and check if it is greater than 1.

Front

What is the purpose of finding two numbers that multiply to ac and add to b in factoring?

Back

These numbers help in splitting the middle term to facilitate factoring.

Front

What is the 'ac method' in factoring?

Back

The 'ac method' involves multiplying the leading coefficient (a) by the constant term (c) to find two numbers that help factor the quadratic.