Quiz about Multiplying and Factoring Trinomials

Question 1

Which of the following is the correct set up for the Box Method when multiply (x + 3) (2x - 4) _{(click on the question to see the image in the background)}

Accepted Answer

B

Answer

A

Answer

C

Answer

D

Question 2

factor x²+ 7x - 30

hint: multiply to get the top/add to get the bottom

Accepted Answer

(x + 10)(x - 3)

Answer

PRIME

Answer

(x + 10)(x + 3)

Answer

(x - 10)(x + 3)

Question 3

Factor

k² - 2k - 24

hint: multiply to get the top/add to get the bottom

Accepted Answer

(k+4)(k-6)

Answer

(k+4)(k+6)

Answer

(k+6)(k-1)

Answer

(k-4)(k+6)

Question 4

Factor

n²- 13n + 40

hint: multiply to get the top/add to get the bottom

Accepted Answer

(n-5)(n-8)

Answer

(n+5)(n-8)

Answer

(n-5)(n+8)

Answer

(n+6)(n+1)

Question 5

Factor

x²+ 12x + 35

hint: multiply to get the top/add to get the bottom

Accepted Answer

(x+5)(x+7)

Answer

(x+4)(x+3)

Answer

(x+7)(x-5)

Answer

Prime

Question 6

Factor

x² + 5x + 4

hint: multiply to get the top/add to get the bottom

Accepted Answer

(x + 4)(x + 1)

Answer

(x + 2)(x + 2)

Answer

(x + 4)(x - 1)

Answer

(x + 5)(x + 1)

Question 7

Jim used the box method to solve

Accepted Answer

$$3x^2+11x-4$$

Answer

$$3x^2+13x-4$$

Answer

$$3x^2+11x+4$$

Answer

$$3x^2-11x+4$$

Question 8

When factoring trinomials by grouping, after you multiply the "a" and the "c" term and identify the "b" term, use these 2 values as clues to find:

Accepted Answer

2 numbers that multiply to "a" times "c" and add to "b"

Answer

2 numbers that subtract to "a" times "c" and add to "b"

Answer

2 numbers that divide to "a" times "c" and add to "b"

Answer

2 numbers that sum to "a" times "c" and subtract to "b"

Question 9

To factor the trinomial 6x² + 11x +3, start by multiplying "a" times "c" and identifying "b". Use ax² + bx + c to find these values.

Accepted Answer

true

Answer

false

Question 10

To factor a trinomial by grouping, start by...

Accepted Answer

multiplying the "a" term times the "c" term and identifying the "b" term

Answer

saying a quick prayer

Answer

multiplying the "b" term times the "c" term and identifying the "a" term

Answer

multiplying the "x" term times the "y" term and identifying the "m" term

Question 11

To factor the trinomial $$6x^2+11x+3$$ , find 2 numbers that multiply to 18 and add to 11. Those two numbers are:

Accepted Answer

9 and 2

Answer

9 and -2

Answer

-9 and -2

Answer

-9 and 2

Question 12

To factor the trinomial $$6x^2+11x+3$$ , write the bx term, which is the 11x , using 2 terms like this:

Accepted Answer

$$6x^2+9x+2x+3$$ and then continue factoring by grouping

Answer

$$6x^2-9x\ -2x+3$$ and then continue factoring by grouping.

Answer

$$6x^2+10x+x+3$$ and then continue factoring by grouping.

Answer

$$6x^2+9x-2x+3$$ and then continue factoring by grouping.

Question 13

To factor 3x² + 14x + 8, find the 2 clue numbers first. Then, use the clue numbers to find the 2 numbers we will use for "bx".

Accepted Answer

the 2 numbers that multiply to 24 and add to 14 are 2 and 12.

Answer

the 2 numbers that multiply to 24 and add to 14 are 6 and 4.

Answer

the 2 numbers that multiply to 24 and add to 14 are 24 don't exist.

Multiplying and Factoring Trinomials

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