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 perfect square trinomial?

Back

A perfect square trinomial is a quadratic expression that can be factored into the square of a binomial, such as a² - 2ab + b² = (a - b)².

Front

Factor the expression: d² - 10d + 25

Back

(d - 5)(d - 5)

Front

What is the difference of squares?

Back

The difference of squares is a special factoring formula: a² - b² = (a + b)(a - b).

Front

Factor the expression: x² - 25

Back

(x + 5)(x - 5)

Front

What does it mean to factor completely?

Back

Factoring completely means breaking down an expression into its simplest factors, with no further factoring possible.

Front

Factor the expression: 3x² + 5x - 12

Back

(3x - 4)(x + 3)

Front

Why can't we factor 49x² + 4y² using the difference of two squares?

Back

Because we can't factor using difference of two squares if it is an addition sign.

Front

Factor the expression: 2x² + 22x + 60

Back

2(x + 5)(x + 6)

Front

What is a binomial?

Back

A binomial is a polynomial with two terms, such as a + b.