MAT0024 Study Session
Division of Polynomials by Monomials
Name___________________________________ Grade:
Date:
CALCULATORS OF ANY KIND ARE NOT ALLOWED.
YOU MUST NEATLY SHOW ALL YOUR WORK TO GET FULL CREDIT FOR CORRECT ANSWERS .
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Perform the division.
8x8 - 12x6
1) 1)
-4x8
-42x6 + 42x4 - 49x2
2) 2)
-7x4
9x2 + 21x - 11
3) 3)
3x
m 4 n 2 + mn 3
4) 4)
mn
3x3 y3 - 6xy - x2y2
5) 5)
3xy
Find the quotient.
36x7 y2 - 24x8 y3
6) 6)
4x2 y
35y4 z + 8y6z 7 - 35y5 z 4
7) 7)
5y5 z6
Write an expression for the following and simplify.
8) Find the quotient of 8x4 y10 and 2x2y7 . 8)
9) Divide -56p4 q4 by -8pq5 . 9)
10) Divide the sum of -12y6 z 8 and 27y5 z 4 by 3yz. 10)
Provide an appropriate response.
11) What is wrong with the following? 11)
20x2 -10x + 5 20x2 - 10x + 5
= = 20x2 - 10x + 1
5 5
Answer Key
Testname: SECT 5.6
3
1) -2 +
x2
7
2) 6x2 - 6 +
x2
11
3) 3x + 7 -
3x
4) m 3 n + n 2
xy
5) x2y2 - 2 -
3
6) 9x5 y - 6x6y2
7 8yz 7
7) + -
yz 5 5 z2
8x4 y10
8) ; 4x2 y3
2x2 y7
-56p4 q4 7p3
9) ;
-8pq5 q
-12y6 z 8 + 27y5 z 4
10) ; -4y5z 7 + 9y4z 3
3yz
11) This is a division of a trinomial by a monomial. Each term in the trinomial must be divided by the monomial, 5.
Cancellation of terms is incorrect. The correct way to do the division is:
20x2 10x 5
- + and the correct answer is 4x2 - 2x + 1.
5 5 5
