Factoring Trinomials and Binomials

This video tutorial from Moo Math and Science explains how to factor trinomials when the leading coefficient is not one. The process involves finding factors of the product of the first and third terms that add up to the middle term, rewriting the trinomial, finding the greatest common factor, and verifying the solution. The video emphasizes the steps of finding and rewriting, and concludes with a reminder to be kind.

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

• Subtract the first term from the third term

• Multiply the first and third terms

• Multiply the first and second terms

• Add the first and third terms

When finding factors, what should their sum equal?

• The middle term

• The third term

• The product of the first and third terms

• The first term

What is the result of multiplying the first and third terms in the example?

• 15

• 30

• -30

• -15

Which pair of factors correctly adds up to the middle term in the example?

• 5 and -6

• -2 and 15

• 1 and -30

• 3 and -10

How do you rewrite the trinomial after finding the correct factors?

• Multiply all terms together

• Divide the trinomial by the greatest common factor

• Combine the first and third terms

• Split the middle term into two terms

What is the greatest common factor of the binomial 5x^2 and 2x?

• 10

• 5

• x

• 2

After factoring out the greatest common factor, what is the next step?

• Combine the common binomial terms

• Multiply the factors

• Add the factors together

• Rewrite the expression

What should you do to verify your factored expression?

• Divide the original trinomial by the factors

• Subtract the factors from the original trinomial

• Add all terms together

• Check if the product equals the original trinomial

What is the common binomial factor in the final expression?

• x + 2

• 5x - 2

• 5x + 3

• x - 3

What is the final expression after combining the terms?

• (x - 2)(5x + 3)

• (x + 2)(5x - 3)

• (x - 3)(5x + 2)

• (x + 3)(5x - 2)