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 the purpose of factoring a polynomial?

Back

Factoring a polynomial helps to simplify expressions, solve equations, and find roots.

Front

What does it mean to factor by grouping?

Back

Factoring by grouping involves rearranging and grouping terms in a polynomial to factor out common factors.

Front

Factor the expression: 3x^3 - x^2 + 6x - 2

Back

(x^2 + 2)(3x - 1)

Front

What are the factors of 25x^2 - 81?

Back

(5x - 9)(5x + 9)

Front

Factor completely: x^2 + 16x + 64

Back

(x + 8)(x + 8)

Front

Factor completely: x^2 - 6x + 8

Back

(x - 2)(x - 4)

Front

Factor completely: 3x^2 + 5x - 12

Back

(3x - 4)(x + 3)

Front

What is a perfect square trinomial?

Back

A perfect square trinomial is a quadratic expression that can be factored into the square of a binomial.

Front

Example of a perfect square trinomial:

Back

x^2 + 6x + 9 = (x + 3)(x + 3) or (x + 3)^2.