8-7 Factoring Quadratics When a ≠1

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is ax² + bx + c = 0, where a, b, and c are constants and a ≠ 0.

Front

What does it mean to factor a quadratic expression?

Back

Factoring a quadratic expression means rewriting it as a product of two binomials.

Front

What is the first step in factoring quadratics when a ≠ 1?

Back

The first step is to multiply the coefficient of x² (a) by the constant term (c) to find the product.

Front

How do you find two numbers that multiply to ac and add to b?

Back

Look for two numbers that are factors of ac and whose sum equals b.

Front

Factor the expression: 4x² - 25x + 25

Back

(x - 5)(4x - 5)

Front

Factor the expression: 2k² - 14k - 60

Back

2(k - 10)(k + 3)

Front

Factor the expression: 5n² - 6n - 27

Back

(5n + 9)(n - 3)

Front

Factor the expression: 5x² - 13x + 6

Back

(5x - 3)(x - 2)

Front

Factor the expression: 3a² + 4a + 1

Back

(3a + 1)(a + 1)

Front

What is a binomial?

Back

A binomial is a polynomial with two terms.