Factoring Trinomials with no "a" coefficient

Front

What is a trinomial?

Back

A trinomial is a polynomial with three terms, typically in the form ax² + bx + c.

Front

What does it mean to factor a trinomial?

Back

Factoring a trinomial means rewriting it as a product of two binomials.

Front

What is the standard form of a quadratic equation?

Back

The standard form is ax² + bx + c, where a, b, and c are constants.

Front

What is the 'a' coefficient in a trinomial?

Back

The 'a' coefficient is the coefficient of the x² term. In trinomials with no 'a' coefficient, 'a' is 1.

Front

How do you factor x² + bx + c?

Back

Find two numbers that multiply to c and add to b, then write it as (x + m)(x + n), where m and n are those numbers.

Front

Factor: x² + 12x + 35

Back

(x + 5)(x + 7)

Front

Factor: n² - 13n + 40

Back

(n - 5)(n - 8)

Front

What numbers multiply to -24 and add to 5?

Back

8 and -3

Front

What numbers multiply to 24 and add to 14?

Back

12 and 2

Front

Factor: x² - 10x - 24

Back

(x - 12)(x + 2)