# Polynomials & Rational Expressions (Modules 1-5)

## Quiz by Yericrissa Manago

Mathematics

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28 questions
• Q1

Match the steps in factoring the general trinomial

6x2 + 19x + 15

linking://Find the product of the leading term and the last term|(6)(15)=90:Determine the factor pair of the product whose sum is the middle term|$9\cdot10$:Rewrite the trinomial as a four-term expression by replacing the middle term by the factor pair|6x+ 9x + 10x + 15 :Group terms with common factors and factor the groups using GCF|3x(2x+3) and 5(2x+3):Factor out the common binomial and write the remaining factor as sum or difference of binomial|(3x+5)(2x+3)

120s
M8AL-Ia-b-1
• Q2

What is the GCF (Greatest Common Factor) of the polynomial x and x

x2

x5

x 3

x

60s
M8AL-Ia-b-1
• Q3

What is the GCF (Greatest Common Factor) of the polynomial  a 3and a 2

2

3

a

5

60s
M8AL-Ia-b-1
• Q4

What is the GCF (Greatest Common Factor) of the polynomial  a  band ab

a2 b

b

a

a  b3

60s
M8AL-Ia-b-1
• Q5

What is the factored form of the polynomial (x- 1) ?

(x + 1)

(x + 1)(x + 1)

(x + 1)(x - 1)

(x - 1)(x - 1)

60s
M8AL-Ia-b-1
• Q6

What is the factored form of the polynomial (n- 9)

(n - 3)(n - 3)

(n - 9)(n + 1)

(n + 3)(n + 3)

(n + 3)(n - 3)

60s
M8AL-Ia-b-1
• Q7

What is the factored form of the polynomial (y- 36) ?

(y + 36)(y - 1)

(y - 6)(y - 6)

(y + 6)(y + 6)

(y + 6)(y - 6)

60s
M8AL-Ia-b-1
• Q8

The area of a box is represented by the polynomial 9x² + 30x + 25. Which expression is the dimension of the box when factoring is used to the given area? *

(9x2 + 25)

(3x + 5)

(x + 25)

(3x - 5)

60s
M8AL-Ia-b-1
• Q9

The area of a box is represented by the polynomial 4x² + 28x + 49. Which expression is the dimension of the box when factoring is used to the given area? *

(2x2 + 7)

(2x + 7)

(4x + 49)

(2x - 7)

60s
M8AL-Ia-b-1
• Q10

The area of a box is represented by the polynomial x² + 2x + 1 . Which expression is the dimension of the box when factoring is used to the given area? *

(x + 2)

(x2 + 1)

(x + 1)

(x - 1)

60s
M8AL-Ia-b-1
• Q11

Arrange the steps in factoring general trinomials in the form

ax2 + bx + c

ordering://Find the product of the leading term and the last term|1:Determine the factor pair of the product whose sum is the middle term|2:Rewrite the trinomial as a four-term expression by replacing the middle term by the factor pair|3:Group terms with common factors and factor the groups using GCF|4:Factor out the common binomial and write the remaining factor as sum or difference of binomial|5

120s
M8AL-Ia-b-1
• Q12

What is the factored form of 12x2 + 21x - 6 ?

3(4x - 1)(x + 2)

3(4x + 1)(x + 2)

(4x - 1)(x + 2)

3(4x - 1)(x - 2)

60s
M8AL-Ia-b-1
• Q13

Which are the factors of 10x2 + 74xy + 28y2 ?

2(5x - 2y)(x - 7y)

(5x + 2y)(x + 7y)

2(5x - 2y)(x + 7y)

2(5x + 2y)(x + 7y)

60s
M8AL-Ia-b-1
• Q14

Translate "Nicole is three times as old as Joshua" into mathematical statement when x represents the age of Joshua.

x + 3

3x

x

2x

60s
M8AL-Ia-b-1
• Q15

Translate "Bea is twice as old as May" into mathematical statement when x represents the age of May.

x

x + 2

3x

2x

60s
M8AL-Ia-b-1

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