Common Factors and Trinomial Factoring
Authored by Adeniyi Ola
Mathematics
9th Grade
CCSS covered
Used 1+ times
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16 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What are the common factors of 12 and 18?
15, 16, 17, 19
10, 11, 13, 14
4, 5, 7, 9
1, 2, 3, 6
Answer explanation
The common factors of 12 and 18 are 1, 2, 3, and 6. These numbers divide both 12 and 18 without leaving a remainder.
Tags
CCSS.6.NS.B.4
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Factorize the trinomial: 2x^2 + 7x + 3.
(2x - 1)(x - 3)
(2x + 1)(x + 3)
(2x + 3)(x + 1)
(2x + 2)(x + 2)
Answer explanation
To factorize the trinomial 2x^2 + 7x + 3, we look for two binomials that multiply to give the trinomial. The correct choice is (2x + 1)(x + 3) because when we expand this expression, we get 2x^2 + 7x + 3, which matches the original trinomial.
Tags
CCSS.6.EE.A.3
CCSS.6.EE.A.4
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Find the common factors of 24 and 36.
2, 4, 8, 16, 32
1, 2, 3, 8, 9
5, 7, 11, 13, 17
2, 3, 4, 6, 12
Answer explanation
The common factors of 24 and 36 are 2, 3, 4, 6, and 12. These numbers can divide both 24 and 36 without leaving a remainder.
Tags
CCSS.6.NS.B.4
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Factorize the trinomial: 3x^2 - 10x + 8
(3x-4)(x-2)
(3x+2)(x-4)
(3x-2)(x-4)
(3x+4)(x-2)
Answer explanation
The correct factorization of the trinomial is (3x-4)(x-2). This choice is obtained by factoring out the common factors and finding the binomials that multiply to give the trinomial.
Tags
CCSS.6.EE.A.3
CCSS.6.EE.A.4
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What are the common factors of 15 and 25?
1, 3, 5
2, 5
1, 5
3, 5
Answer explanation
The common factors of 15 and 25 are 1 and 5. The correct choice is 1, 5.
Tags
CCSS.6.NS.B.4
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Factorize the trinomial: 4x^2 + 12x + 9.
(4x + 3)(x + 3)
(2x + 4)(2x + 5)
(2x + 1)(2x + 9)
(2x + 3)(2x + 3)
Answer explanation
To factorize the trinomial 4x^2 + 12x + 9, we look for two binomials that multiply to give the trinomial. The correct choice is (2x + 3)(2x + 3) because when we expand it, we get 4x^2 + 12x + 9, which matches the original trinomial.
Tags
CCSS.6.EE.A.3
CCSS.6.EE.A.4
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Find the common factors of 40 and 60.
15, 8, 3
30, 25, 12
20, 10, 5, 2, 1
7, 4, 2
Answer explanation
The common factors of 40 and 60 are 20, 10, 5, 2, and 1. These numbers can divide both 40 and 60 without leaving a remainder.
Tags
CCSS.6.NS.B.4
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