Factoring Trinomials Quiz

The video tutorial explains how to factor a trinomial by first determining the greatest common factor (GCF) of its terms. It involves finding the prime factorization of each term, identifying common factors, and factoring out the GCF. The tutorial also covers the importance of factoring out a negative when the leading coefficient is negative. Finally, it verifies the factored form by multiplying the factors to ensure the original trinomial is obtained.

What is the first step in factoring a trinomial?

• Multiply all the terms

• Divide the trinomial by 2

• Determine the greatest common factor

• Add all the terms

How do you find the prime factorization of a number?

• By subtracting the digits

• By dividing the number by its smallest prime factor

• By multiplying the number by 10

• By adding the digits

What is the greatest common factor of the trinomial -12y^4, 15y^3, and 18y^2?

• 3y

• 2y

• 3y^2

• 6y^2

Why is it common to factor out a negative with the GCF when the leading coefficient is negative?

• To make the trinomial positive

• To simplify the trinomial

• To ensure the leading term is positive

• To make calculations easier

What happens to the signs of the terms when factoring out a negative GCF?

• They remain the same

• They all become positive

• They change to the opposite sign

• They all become negative

If you factor out -3y^2 from -12y^4, what is the remaining term?

• 4y^2

• -4y^2

• -12y^2

• 12y^2

What is the remaining term when factoring -3y^2 from 15y^3?

• -15y

• 5y

• -5y

• 15y

What is the remaining term when factoring -3y^2 from 18y^2?

• -18

• 18

• -6

• 6

What is the purpose of verifying the factored form by multiplying the factors?

• To simplify the expression

• To check if the factors are correct

• To change the signs of the terms

• To find the GCF

What is the result of multiplying -3y^2 by 4y^2?

• -12y^4

• 12y^4

• -8y^4

• 8y^4