Factoring and GCF

Solve for x: 4x² - 12x = 0

(Hint: Factor out the GCF!)

• x = 0 or x = 3

• x = 0 or x = 1/3

• x = 1 or x = 1/4

• x = 1 or x = 4

A rectangle has an area of 2x² – 19x +45 ft². What are the dimensions of the rectangle?

• (2x - 9)(x - 5)

• (2x + 9)(x + 5)

• (2x - 5)(x - 9)

• (2x - 5)(x + 9)

• 7x^2y

• 7xy

• 14x^2y

• 21x^2y^2

• 3x(x^2 - 12x + 8)

• 3x(x - 12)(x - 2)

• 3x(x - 6)(x - 4)

• 3x(x^2 - 6x + 4)

Factor by GCF:
10x² + 15x - 5

• 25(10x³+45x-15)

• 5(2x³ + 3x²-x)

• x(10x³+15x-5)

• 5(2x²+3x-1)

Factor by using GCF:

10x² + 15x - 5

• 25(10x³+45x-15)

• 5(2x³ + 3x²-x)

• x(10x³+15x-5)

• 5(2x²+3x-1)

What is the first step when factoring polynomials?

• Find the GCF

• List all the terms

• Make a triangle

• Write the answer

Factor
10x² + 15x-5

• 25(10x³+45x-15)

• 5(2x³ + 3x²-x)

• x(10x³+15x-5)

• 5(2x²+3x-1)