Alg 1 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 polynomial: 2x² - 3x - 2

Back

(2x + 1)(x - 2)

Front

Factor the polynomial: 5x² - 13x + 6

Back

(x - 2)(5x - 3)

Front

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

Back

A polynomial is 'not factorable' if it cannot be expressed as a product of two or more polynomials with real coefficients.

Front

Factor the polynomial: 3a² + 4a + 1

Back

(3a + 1)(a + 1)

Front

Factor the polynomial: 4h² - 17h + 4

Back

(h - 4)(4h - 1)

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

Factor Completely: 6x² + 7x - 3

Back

(2x + 3)(3x - 1)

Front

What is the significance of the 'a' coefficient in the AC method?

Back

The 'a' coefficient affects the shape of the parabola represented by the quadratic equation and is crucial for determining the product in the AC method.

Front

What are the two numbers needed in the AC method?

Back

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