Factoring Trinomials with a Leading Coefficient Other than 1

This video tutorial focuses on factoring trinomials where the leading coefficient is not 1. It introduces a six-step method to ensure accurate factoring, emphasizing the importance of checking for a greatest common factor (GCF) and using the distributive property. The tutorial provides multiple examples, including cases with negative terms and coefficients, to illustrate the process and reinforce learning. Students are encouraged to practice these steps to build strong factoring habits.

What is the focus of the lesson on factoring trinomials?

• Factoring trinomials with a leading coefficient of 1

• Factoring trinomials with a leading coefficient other than 1

• Factoring binomials

• Factoring polynomials with four terms

What is the first step in the six-step process for factoring trinomials?

• Find the product of a and c

• Rewrite the middle term

• Determine the factors of the product

• Factor out the GCF if necessary

In the example of factoring 2x^2 + 11x + 5, what is the product of a and c?

• 5

• 2

• 10

• 11

When factoring a trinomial with a GCF, what should you do first?

• Add the GCF to the trinomial

• Ignore the GCF

• Factor out the GCF

• Multiply the GCF by the trinomial

What is the common factor in the trinomial 3x^2 + 22x + 7 after factoring out the GCF?

• 3x + 1

• x + 7

• x + 1

• 3x + 7

In the example with a negative c value, what is the product of a and c?

• Negative 2

• Negative 3

• Positive 3

• Positive 2

How do you handle a trinomial where the b term is negative?

• Ensure both factors are positive

• Ensure both factors are negative

• Ensure one factor is negative

• Ignore the negative sign

What is the result of factoring x^2 - 9x + 14?

• (x - 1)(x - 14)

• (x - 2)(x - 7)

• (x + 1)(x + 14)

• (x + 2)(x + 7)

What is the greatest common factor in the trinomial 4x^2 - 11x + 7?

• x

• 4x

• 7

• 1

In the final example, what is the common factor of the binomials?

• 5x + 1

• x - 1

• x + 1

• 5x - 1