Factoring Trinomials and GCF

This video tutorial focuses on factoring trinomials with a leading coefficient that is not one. It provides a detailed explanation and step-by-step examples of how to factor expressions like 2x^2 - 5x - 3, 6x^2 + 11x - 10, and 12x^2 + 11x - 15 using the grouping method. The tutorial emphasizes finding two numbers that multiply to the product of the leading coefficient and the constant term, and add to the middle term, to facilitate the factorization process.

What is the first step in factoring the trinomial 2x^2 - 5x - 3?

• Multiply the leading coefficient and the constant term

• Find the greatest common factor (GCF)

• Divide the middle term by the leading coefficient

• Add the leading coefficient and the constant term

Which two numbers multiply to -6 and add to -5 in the trinomial 2x^2 - 5x - 3?

• -6 and 1

• -3 and 2

• -2 and 3

• 6 and -1

What is the GCF of the first two terms in the trinomial 2x^2 - 5x - 3?

• x

• 2

• 2x

• 1

In the trinomial 6x^2 + 11x - 10, what two numbers multiply to -60 and add to 11?

• -6 and 10

• 6 and -10

• 4 and -15

• -4 and 15

What is the GCF of the first two terms in the trinomial 6x^2 + 11x - 10?

• 2x

• x

• 3x

• 6x

What is the product of the leading coefficient and the constant term in the trinomial 12x^2 + 11x - 15?

• -150

• 150

• 180

• -180

Which two numbers multiply to -180 and add to 11 in the trinomial 12x^2 + 11x - 15?

• -9 and 20

• 9 and -20

• -12 and 15

• 12 and -15

What is the GCF of the first two terms in the trinomial 12x^2 + 11x - 15?

• 2x

• 4x

• 3x

• 6x

What is the final factored form of the trinomial 12x^2 + 11x - 15?

• (2x - 3)(6x + 5)

• (4x - 3)(3x + 5)

• (3x - 5)(4x + 3)

• (3x - 2)(4x + 5)

What method is used to factor trinomials in the video?

• Synthetic division

• Factoring by grouping

• Quadratic formula

• Completing the square