Factoring Trinomials by Grouping Quiz

What is the first step in factoring trinomials by grouping?

• List all possible factors

• Multiply the first and last terms

• Group the terms

• Factor out the greatest common factor

In the expression 5x^2 + 32x + 12, what are the factors of 60x^2 that add up to 32x?

• 4x and 15x

• 2x and 30x

• 6x and 10x

• 5x and 12x

After replacing the middle term in the trinomial 5x^2 + 32x + 12, what is the next step?

• Multiply the first and last terms

• List all possible factors

• Group the terms and factor out the GCF

• Add the factors

What is the greatest common factor in the trinomial 9n^2 + 30n + 16?

• 4

• 3

• 2

• 1

Which pair of factors of 144n^2 adds up to 30n?

• 8n and 18n

• 6n and 24n

• 9n and 16n

• 12n and 12n

In the trinomial 8a^2 - 34a + 35, what must be true about the factors to add up to -34?

• They must both be negative

• They must both be positive

• One must be positive and one negative

• They must be equal

What is the greatest common factor in the expression 8a^2 - 14a - 20a + 35?

• 5

• 2a

• 1

• 7

In the expression 8a^2 - 14a - 20a + 35, what is the common factor after grouping?

• 3a + 2

• 4a - 7

• 2a - 5

• 5a + 2

What is the final step in factoring trinomials by grouping?

• List all possible factors

• Group the GCFs and common factors

• Add the factors

• Multiply the factors

What is the purpose of factoring trinomials by grouping?

• To simplify the expression

• To find the roots of the equation

• To rewrite the expression as a product of binomials

• To eliminate the middle term