Factoring Trinomials by Grouping Quiz

What is the first step in factoring a trinomial by grouping?

• Multiply the first and last terms

• Factor out the greatest common factor

• List all possible factors

• Group the terms

In the first example, what are the factors of 60x^2 that add up to 32x?

• 2x and 30x

• 6x and 10x

• 4x and 15x

• 5x and 12x

What is the result of grouping the terms in the first example?

• x + 6 and 5x + 3

• x + 6 and 5x + 2

• x + 2 and 5x + 6

• x + 5 and 6x + 2

In the second example, what is the GCF of the trinomial?

• 4

• 3

• 2

• 1

What are the factors of 144n^2 that add up to 30n in the second example?

• 6n and 24n

• 12n and 12n

• 8n and 18n

• 9n and 16n

What is the final factorization of the second example?

• 3n + 4 and 3n + 6

• 3n + 2 and 3n + 8

• 3n + 6 and 3n + 4

• 3n + 8 and 3n + 2

In the third example, what is the product of the first and last terms?

• 140a^2

• 280a^2

• 560a^2

• 70a^2

What are the negative factors that add up to -34 in the third example?

• -10a and -24a

• -14a and -20a

• -12a and -22a

• -16a and -18a

What is the final factorization of the third example?

• 2a + 5 and 4a - 7

• 2a - 5 and 4a + 7

• 2a - 7 and 4a - 5

• 2a - 5 and 4a - 7

What is the importance of checking signs in the third example?

• To ensure the sum is positive

• To ensure the sum is negative

• To ensure the product is negative

• To ensure the product is positive