Factoring Trinomials

Front

What is a trinomial?

Back

A trinomial is a polynomial with 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 general form of factoring a trinomial?

Back

The general form is (x + p)(x + q) where p and q are numbers that add to b and multiply to c.

Front

Factor the trinomial: x^2 + 4x + 3

Back

(x + 1)(x + 3)

Front

Factor the trinomial: x^2 + 11x + 24

Back

(x + 8)(x + 3)

Front

Factor the trinomial: x^2 - 5x - 24

Back

(x - 8)(x + 3)

Front

Factor the trinomial: k^2 + 7k + 10

Back

(k + 2)(k + 5)

Front

Factor the trinomial: 3v^2 - 4v - 7

Back

(3v - 7)(v + 1)

Front

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

Back

The sum of the factors equals the coefficient of the x term, and the product equals the constant term.

Front

What is a binomial?

Back

A binomial is a polynomial with two terms, such as (x + p) or (x - q).