Polynomials & Rational Expressions (Modules 1-5)
Quiz by Yericrissa Manago
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- 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|:Rewrite the trinomial as a four-term expression by replacing the middle term by the factor pair|6x2 + 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
x2
x5
x 3
x
60sM8AL-Ia-b-1 - Q3
What is the GCF (Greatest Common Factor) of the polynomial a 3and a 2
a 2
a 3
a
a 5
60sM8AL-Ia-b-1 - Q4
What is the GCF (Greatest Common Factor) of the polynomial a4 b3 and a2 b
a2 b
b
a
a4 b3
60sM8AL-Ia-b-1 - Q5
What is the factored form of the polynomial (x2 - 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 (n2 - 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 (y2 - 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? *
(9x2 + 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? *
(2x2 + 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)
(x2 + 1)
(x + 1)
(x - 1)
60sM8AL-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
120sM8AL-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)
60sM8AL-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)
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