Factoring Trinomials Quiz

What is the first step in factoring a trinomial where the leading coefficient is greater than 1?

• Multiply a and c

• Subtract b from c

• Find the greatest common factor

• Add a and b

In the example where a = 6, b = 7, and c = -49, what is the product of a and c?

• 294

• -49

• 49

• -294

Which pair of factors of -294 add up to 7?

• -7 and 42

• 7 and 42

• -14 and 21

• 14 and 21

For the trinomial where a = 6, b = 37, and c = 6, what is the sum of the factors of 36 that add up to 37?

• 18 and 19

• 1 and 36

• 6 and 6

• 12 and 24

What is the greatest common factor of the first two terms in the trinomial where a = 6, b = 37, and c = 6?

• 2

• 1

• x

• 6

When factoring a trinomial with a negative leading coefficient, what should you do first?

• Add a and c

• Find the greatest common factor

• Multiply a and c

• Pull out a negative

In the example where a = 6, b = 5, and c = -6, which pair of factors of -36 add up to 5?

• -4 and 9

• -6 and 6

• 6 and -6

• 4 and -9

What is the greatest common factor of the terms in the final example where a = 4, b = 15, and c = -25?

• 25

• B

• 5

• 4

Which pair of factors of -100 add up to 15 in the final example?

• 10 and 10

• 5 and -20

• -5 and 20

• -10 and 10

What should you remember to do after factoring out a common factor at the start of a problem?

• Divide it by c

• Multiply it by a

• Ignore it

• Add it back in the final answer