Basic Concepts Involved in Factoring Trinomials

Question: Suppose two numbers multiply to \(36\).

Then, the numbers have (choose one):

The same sign or different signs?

Answer: The same sign.

Question: Suppose two numbers multiply to \(-36\).

Then, the numbers have (choose one):

The same sign or different signs?

Answer: Different signs.

Question: Suppose two numbers have the same sign, and they add to \(10\).

Then, the numbers are (choose one):

Both positive or both negative?

Answer: Both positive.

Question: Suppose two numbers have the same sign, and they add to \(-10\).

Then, the numbers are (choose one):

Both positive or both negative?

Answer: Both negative.

Question: When you add two numbers that have the same sign,

then in your head you do a/an (choose one):

Addition problem or a subtraction problem?

Answer: Addition problem.

Question: When you add two numbers that have different signs,

then in your head you do a/an (choose one):

Addition problem or a subtraction problem?

Answer: Subtraction problem.

Question: Suppose two numbers have different signs, and they add to \(10\).

Then, the bigger number is (choose one):

Positive or negative?

Answer: Positive

Question: Suppose two numbers have different signs, and they add to \(-10\).

Then, the bigger number is (choose one):

Positive or negative?

Answer: Negative