Division of Polynomials
Use synthetic division to find the quotient and the remainder.
1) x2 + 12x + 33 is divided by x + 5
A) x + 7; remainder 0
C) x + 7; remainder -2
B) x + 7; remainder 2
D) x + 8; remainder 0
2) x3 - x2 + 6 is divided by x + 2
A) 3x2 - 4x + 2; remainder 0
B) x2 - 3x + 6; remainder 2
D) x2 + x + 2; remainder -6
C) x2 - 3x + 6; remainder -6
3) x5 + x3 + 4 is divided by x + 3
A) x4 - 3x3 + 9x2 - 26x + 78; remainder -230
C) x4 - 2; remainder 10
4) x5 - 4x4 - 15x3 + 21x2 - 21x + 21 is divided by x - 6
A) x3 + 2x2 - 3x + 3; remainder 3
C) x4 + 2x3 - 3x2 + 3x - 3; remainder 3
B) x4 - 2x2 ; remainder 10
D) x4 - 3x3 + 10x2 - 30x + 90; remainder -266
B) x4 + 2x3 - 3x2 + 3x + 3; remainder 5
D) x4 + 2x3 - 3x2 + 3x + 3; remainder 0
Perform the division.
18x2 + 24x + 30
5)
6
A) 3x2 + 4x + 5
6)
B) 3r8 - 5r6
C) 3r7 - 5r5
D) 3r6 - 5r4
B) 2x6 + 9x3
C) 10x8 + 9x3
D) 2x6 + 45x5
C) -5 + 5x3
D) -5 +
10x7 - 10x4
-2x7
A) -5 - 10x4
9)
D) 108x2 + 144x + 180
10x8 + 45x5
5x2
A) 11x11
8)
C) 3x2 + 24x + 30
21r7 - 35r5
7r
A) 21r6 - 35r4
7)
B) 18x2 + 24x + 5
B) 10x7 +
5
x3
5
x3
-30x4 - 36x3 - 36x2
-6x3
A) 5x + 6
B) 11x + 6
C) 5x - 36x3 +
6
x
D) 5x + 6 +
6
x
10)
-8x4 + 10x3 - 4x2
-2x3
A) 6x - 5
11)
C) x2 - 10
D) x + 10
B) x2 - 100
C) x2 - 10x + 100
D) x2 - 10x - 100
B) x - 16
C) x + 9
D) x3 - 16
B) -5x + 2
C) -3x - 7
D) 3x - 7
B) p - 4
C) p - 9 +
B) m 2 + 3m + 4
C) 8m 2 + 2m + 4
p2 + 5p - 27
p+9
A) p - 4 +
17)
B) x - 100
15x2 + 29x - 14
-5x + 2
A) -3x + 7
16)
D) x - 8
x2 + 11x + 18
x+2
A) x2 + 9
15)
C) x2 - 8
x3 - 1000
x - 10
A) x2 + 10x + 100
14)
B) x - 64
x2 - 100
x - 10
A) x + 100
13)
D) 4x - 5 +
2
x
C) 4x + 10x3 +
x2 - 64
x+8
A) x + 64
12)
2
x
B) 4x - 5
9
p+9
4
p+9
D) p + 4 +
9
p+9
8m 3 + 62m 2 - 12m + 32
m+8
A) 8m 2 - 2m + 4
D) m 2 + 2m + 8
Answer Key
Testname: EX 22 DIVISION OF POLYN
1) C
2) C
3) D
4) C
5) A
6) D
7) B
8) D
9) D
10) D
11) D
12) D
13) A
14) C
15) C
16) A
17) A