Flashcard on Factoring (AC Method)

Front

What is the AC Method in factoring?

Back

The AC Method is a technique used to factor quadratic expressions of the form ax² + bx + c by finding two numbers that multiply to ac and add to b.

Front

Factor the expression: 4x² - 25x + 25

Back

(x-5)(4x-5)

Front

Factor the expression: 5x² - 28x + 32

Back

(5x-8)(x-4)

Front

Factor the expression: 3a² + 4a + 1

Back

(3a+1)(a+1)

Front

Factor the expression: 2m² + 3m - 9

Back

(m + 3)(2m - 3)

Front

Factor the expression: 2x² - 13x - 70

Back

(2x+7)(x-10)

Front

What does it mean for a quadratic to be 'not factorable'?

Back

A quadratic is 'not factorable' if it cannot be expressed as a product of two binomials with rational coefficients.

Front

What is the first step in the AC Method?

Back

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

Front

How do you determine the two numbers needed for the AC Method?

Back

Find two numbers that multiply to ac (the product of a and c) and add to b.

Front

What is a binomial?

Back

A binomial is a polynomial that contains exactly two terms.