Mixed Factoring

Front

What is mixed factoring?

Back

Mixed factoring involves factoring expressions that may include a combination of different types of factors, such as common factors, difference of squares, and trinomial factoring.

Front

Factor the expression: x² - 5x

Back

x(x - 5)

Front

What is the difference of squares formula?

Back

The difference of squares formula states that a² - b² = (a - b)(a + b).

Front

Factor the expression: x² - 16

Back

(x - 4)(x + 4)

Front

What is a common factor?

Back

A common factor is a number or expression that divides two or more numbers or expressions without leaving a remainder.

Front

Factor completely: 3x² + 18x + 15

Back

3(x + 5)(x + 1)

Front

What is a trinomial?

Back

A trinomial is a polynomial with three terms, typically in the form ax² + bx + c.

Front

Factor the expression: 20x³ - 25x² + 4x - 5

Back

(5x² + 1)(4x - 5)

Front

What is the first step in factoring a polynomial?

Back

The first step is to look for a common factor in all terms of the polynomial.

Front

Factor the expression: x² - 25

Back

(x + 5)(x - 5)