Factor 16x² – 81y²

Factor 8x² – 32x + 32.

Factor 16x² + 40x + 25

Factor 100x² – 36.

Factor x² – 14x + 49

Factor the expression as a product of binomials.
x²   + x + ¼

Given the area of the square given, factor to find the side length.
Area = 36x² + 120x + 100

Factor the expression as a product of binomials.
p² – 49/100

Identify the value of c that would make the trinomial factorable using the perfect-square pattern.
x² - 10x + c

Identify the value of c that would make the trinomial factorable using the perfect-square pattern.
x² + 24x + c

Factor 3x³ – 12x² + 12x

Factor 49x² – 25

Factor 5x² – 30x + 45

Factor x² + 6x + 9

A city is designing the layout of a new park. The park will be divided into several different areas, including a field, a picnic area and a recreation area. One design of the park is shown below.

What are the dimensions of the entire park in terms of x?

Maria is making a rectangular quilt. She starts with a square of fabric with side length of x cm. She adds some fabric to one side of the square and a different amount of fabric to an adjacent side of the square. Her final quilt has an area of x² + 13x + 30 cm². How much longer is the long dimension of the quilt than the short dimension?

In mathematics, factorization or factoring consists of writing a number or another mathematical object as a product of several factors, usually smaller or simpler objects of the same kind.