Factoring Trinomials a=1

Front

What is a trinomial?

Back

A trinomial is a polynomial that consists of three terms, typically in the form ax^2 + bx + c.

Front

What does it mean to factor a trinomial?

Back

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

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is ax^2 + bx + c = 0, where a, b, and c are constants.

Front

What is the relationship between the coefficients and the roots of a trinomial?

Back

The sum of the roots is equal to -b/a and the product of the roots is equal to c/a.

Front

How do you factor the trinomial x^2 - 9x + 20?

Back

The trinomial factors to (x - 5)(x - 4).

Front

What are the steps to factor a trinomial of the form x^2 + bx + c?

Back

1. Identify two numbers that multiply to c and add to b. 2. Rewrite the trinomial as (x + m)(x + n), where m and n are the identified numbers.

Front

What is the factored form of n^2 + 5n - 6?

Back

The factored form is (n - 1)(n + 6).

Front

How do you factor the trinomial b^2 + 8b + 7?

Back

The trinomial factors to (b + 7)(b + 1).

Front

What is the factored form of x^2 + 3x + 2?

Back

The factored form is (x + 2)(x + 1).

Front

How do you factor the trinomial x^2 + 9x - 36?

Back

The trinomial factors to (x + 12)(x - 3).