Factoring Trinomials by Grouping Techniques

This video tutorial focuses on factoring trinomials where the leading coefficient is not 1. It begins with simpler examples and progresses to more complex ones, demonstrating techniques such as finding the greatest common factor (GCF) and using prime factorization. The video provides detailed, step-by-step instructions for each example, helping viewers understand the process of factoring trinomials with non-unit leading coefficients.

What is the product of the first and last coefficients in the trinomial 2x^2 - 5x - 3?

• -6

• 6

• -5

• 5

Which pair of numbers multiplies to -30 and adds up to 13?

• 3 and 10

• 2 and -15

• -3 and 10

• -2 and 15

What is the GCF of the terms in 2x^2 - 4x - 6?

• 2

• 4

• 6

• 1

After factoring out the GCF in the trinomial 2x^2 - 4x - 6, what is the resulting expression inside the parentheses?

• x^2 - 2x - 3

• x^2 - x - 3

• x^2 - 3x - 2

• x^2 - 3x - 1

What is the product of 3 and -240 in the context of factoring the trinomial 3x^2 - 29x - 240?

• 720

• -730

• 730

• -720

Which pair of numbers multiplies to -720 and adds up to -29?

• 16 and -45

• 24 and -30

• 15 and -48

• 10 and -72

What is the correct factorization of 3x^2 - 29x - 240?

• x + 15 and 3x - 16

• 3x - 16 and x + 15

• x - 15 and 3x + 16

• 3x + 16 and x - 15

In the final example, what is the product of 2 and 108?

• 216

• -216

• 210

• -210

Which pair of numbers multiplies to -216 and adds up to 15?

• 9 and -24

• -9 and 24

• -24 and 9

• 24 and -9

What is the correct factorization of 2x^2 + 15x - 108?

• (x - 12)(2x + 9)

• (x + 12)(2x + 9)

• (x + 12)(2x - 9)

• (x - 12)(2x - 9)