Factoring Techniques and Concepts

This video tutorial demonstrates how to factor trinomials where the leading coefficient (a) is greater than one. The instructor explains the process of factoring by grouping, using two examples: 6x^2 - 5x - 4 and 5x^2 - 22x + 21. The video covers identifying coefficients, breaking down the middle term, and using the greatest common factor (GCF) to factor the expressions completely. The tutorial also provides tips for checking work using the box method and using a calculator to find factors.

What is the leading coefficient in a trinomial?

• The constant term

• The sum of all coefficients

• The coefficient of x

• The coefficient of x^2

What method is used to factor trinomials when the leading coefficient is greater than one?

• Factoring by division

• Factoring by elimination

• Factoring by substitution

• Factoring by grouping

In the expression 6x^2 - 5x - 4, what are the values of a, b, and c?

• a=-4, b=6, c=-5

• a=6, b=4, c=-5

• a=5, b=6, c=-4

• a=6, b=-5, c=-4

What is the product of a and c in the trinomial 6x^2 - 5x - 4?

• 24

• -24

• -20

• 20

Which two numbers multiply to -24 and add to -5 in the trinomial 6x^2 - 5x - 4?

• -8 and 3

• 8 and -3

• -6 and 4

• 6 and -4

What is the purpose of breaking the middle term in factoring by grouping?

• To eliminate the constant term

• To create four terms

• To find the GCF

• To simplify the expression

What is the first step in the process of factoring by grouping?

• Break the middle term

• Find the GCF

• Use the box method

• Multiply a and c

What is the GCF of the first two terms in the expression 6x^2 - 8x?

• 6x

• x

• 3x

• 2x

What is the role of the GCF in factoring by grouping?

• To separate terms

• To combine terms

• To simplify the expression

• To eliminate terms

What is the role of the GCF in the first example?

• To eliminate terms

• To separate terms

• To simplify the expression

• To combine terms