Factoring Trinomials

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.

Front

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

Back

1. Identify a, b, and c. 2. Find two numbers that multiply to c and add to b. 3. Rewrite the trinomial as (x + m)(x + n), where m and n are the two numbers.

Front

Factor the trinomial: v^2 + 3v - 88

Back

(v + 11)(v - 8)

Front

Factor the trinomial: x^2 - 16x + 48

Back

(x - 12)(x - 4)

Front

Factor the trinomial: x^2 + 9x - 36

Back

(x + 12)(x - 3)

Front

Factor the trinomial: k^2 - 2k - 24

Back

(k + 4)(k - 6)

Front

Factor the trinomial: n^2 + 16n + 63

Back

(n + 7)(n + 9)

Front

What is a binomial?

Back

A binomial is a polynomial that consists of two terms, typically in the form ax + b.