Factoring Trinomials: Key Concepts and Techniques

What was the narrator known as in football?

• The X-Factor

• The quarterback

• The coach

• The MVP

What is the first step in using the 'X' technique for factoring?

• Listing all factors

• Determining the coefficient

• Identifying the variable

• Drawing a big X

What does the 'X' represent in the context of factoring trinomials?

• A technique for finding factors

• The product of the two numbers

• A variable to be solved

• The sum of the two numbers

What two numbers need to be found in the 'X' technique?

• Numbers that subtract to give the middle term

• Numbers that add to the middle term and multiply to the last term

• Numbers that multiply to give the first term

• Numbers that divide to give the last term

What are the signs of the numbers that add to positive 13 and multiply to positive 42?

• Cannot be determined

• Both negative

• Both positive

• One positive and one negative

What is the purpose of taking the square root of the variable squared in the 'X' technique?

• To find the variable's coefficient

• To simplify the variable

• To eliminate the variable

• To determine the variable's exponent

What does a negative product and sum indicate about the signs of the two numbers in the 'X' technique?

• The signs cannot be determined

• One number is positive and the other is negative

• Both numbers are negative

• Both numbers are positive

How do you determine the signs of the numbers when the sum is negative?

• Both numbers are positive

• Both numbers are negative

• The smaller number is positive

• The larger number is positive

Why do we not worry about the variable squared when factoring?

• It is eliminated in the process

• It is accounted for when foiling out the factors

• It does not affect the final answer

• It is replaced by the 'X'

What is the result of factoring the trinomial with a negative product and sum using the 'X' technique?

• a^2 + 7a - 4

• a^2 + 4a - 7

• a^2 - 7a + 4

• a^2 - 4a + 7