Factoring Polynomials
Authored by Audrey Cochran
Mathematics
8th - 11th Grade
Used 15+ times
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20 questions
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1.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
(3x+1)(x-3)
(3x-1)(x+3)
-(3x+1)(x-3)
-(3x-1)(x+3)
Answer explanation
1. Factor out a negative 1:
-(3x2+8x-3)
2. Factor the polynomial.
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
(p+5)(p+8)
(p-5)(p+8)
(p-8)(p-5)
(p+5)(p-8)
Answer explanation
The numbers within the two factors should have a sum equal to 13 and a product equal to 40. The two numbers that fit these conditions are 8 and 5, so the factors are (p+8) and (p+5).
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
(n+6)(n-10)
(n+6)(n+10)
(n-6)(n-10)
(n-6)(n+10)
Answer explanation
The numbers within the two factors should have a sum equal to -16 and a product equal to 60. The two numbers that fit these conditions are -10 and -6, so the factors are (n-6) and (n-10).
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
(m+4)(m-9)
(m+4)(m+9)
(m-4)(m+9)
(m-4)(m-9)
Answer explanation
The numbers within the two factors should have a sum equal to 13 and a product equal to 36. The two numbers that fit these conditions are 4 and 9, so the factors are (m+4) and (m+9).
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
(k-7)(k-10)
(k-7)(k+10)
(k+7)(k+10)
(k+7)(k-10)
Answer explanation
The numbers within the two factors should have a sum equal to 17 and a product equal to 70. The two numbers that fit these conditions are 7 and 10, so the factors are (k+7) and (k+10).
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
(x-8)(x-6)
(x-8)(x+6)
(x+8)(x-6)
(x+8)(x+6)
Answer explanation
The numbers within the two factors should have a sum equal to -14 and a product equal to 48. The two numbers that fit these conditions are -8 and -6, so the factors are (x-8) and (x-6).
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
(m-1)(m-8)
(m-1)(m+8)
(m+1)(m-8)
(m+1)(m+8)
Answer explanation
The numbers within the two factors should have a sum equal to 7 and a product equal to -8. The two numbers that fit these conditions are 8 and -1, so the factors are (m-1) and (m+8).
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