Factoring

Front

What is factoring in algebra?

Back

Factoring is the process of breaking down an expression into a product of simpler expressions, called factors.

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

To factor a trinomial means to express it as a product of two binomials.

Front

What is a binomial?

Back

A binomial is a polynomial with two terms, such as (x + 3) or (a - 5).

Front

How do you factor x^2 + bx + c?

Back

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

Front

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

Back

(x + 12)(x - 3)

Front

Factor the trinomial: x^2 + 7x - 30

Back

(x + 10)(x - 3)

Front

Factor the trinomial: a^2 - a - 12

Back

(a - 4)(a + 3)

Front

Factor the trinomial: x^2 - 8x + 15

Back

(x - 5)(x - 3)

Front

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

Back

(x - 1)(x + 3)