Question
Factor 5x2 – 30x + 45
- 5(x – 3)2
- 5(x – 3) (x + 3)
- (25x + 75)2
- 5(x + 2) (x – 2)
The correct answer is: 5(x – 3)2
Take out 5,
5(x2 – 6x + 9) = 5 ((x)2 – 2(x)(3) + (3)2) = 5(x – 3)2
Related Questions to study
Factor x2 + 6x + 9
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?
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.
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.
Factorise the trinomial represented by the algebra tiles.
Factorise the trinomial represented by the algebra tiles.
A rectangular plot is 6 meters longer than it's width. The area of the plot is 16 square meters. Find the length and the width of the plot.
A rectangular plot is 6 meters longer than it's width. The area of the plot is 16 square meters. Find the length and the width of the plot.
Factorise x2 - 12x + 27.
Factorise x2 - 12x + 27.
Factorise x2 + 7xy + 6y2.
Factorise x2 + 7xy + 6y2.
Factorise x2 - 13x + 30.
Factorise x2 - 13x + 30.
Factorise x2 + 2x - 15.
Factorise x2 + 2x - 15.
Factorise the trinomial represented by the algebra tiles.
Factorise the trinomial represented by the algebra tiles.
What is the missing term from the last term of the trinomial x2 + 5xy + 4 so that it is factorable as the product of binomials?
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.
What is the missing term from the last term of the trinomial x2 + 5xy + 4 so that it is factorable as the product of binomials?
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.