# Polynomials & Rational Expressions (Modules 1-5)

## Quiz by Yericrissa Manago

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- Q1
Match the steps in factoring the general trinomial

6x

^{2}+ 19x + 15linking://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|$9\backslash cdot10$:Rewrite the trinomial as a four-term expression by replacing the middle term by the factor pair|6x

^{2 }+ 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)120sM8AL-Ia-b-1 - Q2
What is the GCF (Greatest Common Factor) of the polynomial x

^{5 }and x^{ }x

^{2}x

^{5}x

^{ 3}x

60sM8AL-Ia-b-1 - Q3
What is the GCF (Greatest Common Factor) of the polynomial a

^{ 3}and a^{2}a

^{2}a

^{3}a

a

^{5}60sM8AL-Ia-b-1 - Q4
What is the GCF (Greatest Common Factor) of the polynomial a

^{4 }^{ }b^{3 }and a^{2 }ba

^{2}bb

^{}a

a

^{4 }^{ }b^{3}60sM8AL-Ia-b-1 - Q5
What is the factored form of the polynomial (x

^{2 }- 1)^{ }?^{ }(x + 1)

(x + 1)(x + 1)

(x + 1)(x - 1)

(x - 1)(x - 1)

60sM8AL-Ia-b-1 - Q6
What is the factored form of the polynomial (n

^{2 }- 9)^{ }^{ }(n - 3)(n - 3)

(n - 9)(n + 1)

(n + 3)(n + 3)

(n + 3)(n - 3)

60sM8AL-Ia-b-1 - Q7
What is the factored form of the polynomial (y

^{2 }- 36) ?(y + 36)(y - 1)

(y - 6)(y - 6)

(y + 6)(y + 6)

(y + 6)(y - 6)

60sM8AL-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? *

(9x

^{2}+ 25)(3x + 5)

(x + 25)

(3x - 5)

60sM8AL-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? *

(2x

^{2}+ 7)(2x + 7)

(4x + 49)

(2x - 7)

60sM8AL-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)

(x

^{2}+ 1)(x + 1)

(x - 1)

60sM8AL-Ia-b-1 - Q11
Arrange the steps in factoring general trinomials in the form

ax

^{2}+ bx + cordering://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

120sM8AL-Ia-b-1 - Q12
What is the factored form of 12x

^{2}+ 21x - 6 ?3(4x - 1)(x + 2)

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

(4x - 1)(x + 2)

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

60sM8AL-Ia-b-1 - Q13
Which are the factors of 10x

^{2}+ 74xy + 28y^{2}?2(5x - 2y)(x - 7y)

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

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

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

60sM8AL-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

60sM8AL-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

60sM8AL-Ia-b-1