Factoring Trinomials and GCF

This video tutorial from Mumu Math and Science explains how to factor a trinomial where the leading coefficient is not 1. The process involves using the X method to find two numbers that multiply to the product of the leading coefficient and the constant term, and add to the middle coefficient. The middle term is then split, and the trinomial is rewritten. The greatest common factor is factored out by grouping, and the final factors are written out. The video emphasizes the importance of matching terms in parentheses and concludes with a reminder to be kind.

What is the first step in factoring a trinomial where the leading coefficient is not 1?

• Draw an X and place A*C at the top

• Find the greatest common factor

• Split the middle term

• Rewrite the trinomial

In the X method, what do you place at the bottom of the X?

• The constant term

• A*C

• B

• The leading coefficient

Which pair of numbers multiply to 60 and add to 19?

• 20 and 3

• 12 and 5

• 15 and 4

• 10 and 6

What is the purpose of splitting the middle term in the trinomial?

• To eliminate the leading coefficient

• To rewrite the trinomial for easier factoring

• To find the greatest common factor

• To simplify the trinomial

After splitting the middle term, what is the next step?

• Add the terms

• Draw an X

• Multiply the terms

• Factor out the greatest common factor

What is the greatest common factor of 10x^2 + 15x?

• 2x

• 5x

• 10x

• 3x

What should match in the parentheses after factoring?

• The terms inside the parentheses

• The exponents

• The coefficients

• The variables

What are the final factors of the trinomial 10x^2 + 19x + 6?

• 5x + 3 and 2x + 3

• 2x + 3 and 5x + 4

• 5x + 2 and 2x + 3

• 10x + 6 and x + 1

Why is it important for the terms in the parentheses to match?

• To eliminate the leading coefficient

• To find the greatest common factor

• To simplify the expression

• To ensure the trinomial is correctly factored

What is the final step after matching the terms in the parentheses?

• Divide the factors

• Add the factors

• Write out the factors

• Multiply the factors