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WorksheetsMixed Polynomials Problems
Total questions: 45
Worksheet time: 2hrs 54mins
Name
Class
Date
1.
Find the product:
(n - 5)(n - 1)
(n - 5)(n - 1)
a)
n2 - 5n + 5
b)
n2 - 6n + 5
c)
n2 + 5
d)
n2 + 6n + 5
2.
Find the product:
(x + 5)(x - 4)
(x + 5)(x - 4)
a)
x2 + 9x + 20
b)
x2 + 9x - 20
c)
x2 + 1x - 20
d)
x2 - 1x - 20
3.
Multiply:
(r + 7)(r − 7)
(r + 7)(r − 7)
a)
r 2 − 49
b)
r 2 + 14
c)
r 2 − 7r + 49
4.
(3x – 1)(x + 5)
a)
3x2 + 4x + 5
b)
3x2 + 4x - 5
c)
3x2 + 14x + 5
d)
3x2 + 14x - 5
5.
Distribute and combine like terms.
(-x - 1)(x - 11)
(-x - 1)(x - 11)
a)
-x2 - 12x - 12
b)
-x2 - 12x + 11
c)
-x2 + 10x + 11
d)
-x2 + 10x - 12
6.
Find the product:
(x + 12)(x - 12)
(x + 12)(x - 12)
a)
x2 - 144
b)
x2 + 144
c)
x2 + 12x - 144
d)
x2 - 12x + 144
7.
(x+2)(x−2)
a)
x2−4x−4
b)
x2+4
c)
x2−4
d)
x2+4x−4
8.
Find the product:
(3x + 2)(2x + 4)
(3x + 2)(2x + 4)
a)
6x2 + 16x + 8
b)
5x2 +11x + 6
c)
5x2 + 16x + 6
d)
6x2 + 11x + 8
9.
Factor
x2 + 9x - 36
x2 + 9x - 36
a)
(x + 12)(x - 3)
b)
(x + 9)(x - 4)
c)
(x - 12)(x + 3)
d)
(x - 9)(x - 4)
10.
Factor
n2 + 16n + 63
n2 + 16n + 63
a)
(n-7)(n+4)
b)
(n+7)(n-9)
c)
(n-3)(n-10)
d)
(n+7)(n+9)
11.
Factor
x2 - 5x - 36
x2 - 5x - 36
a)
(x - 4)(x + 9)
b)
(x - 6)(x + 6)
c)
(x + 4)(x - 9)
d)
(x -12)(x + 3)
12.
Factor
k2 - 2k - 24
k2 - 2k - 24
a)
(k+4)(k-6)
b)
(k+4)(k+6)
c)
(k+6)(k-1)
d)
(k-4)(k+6)
13.
factor:x2 - 25
a)
( x + 5 ) ( x - 5 )
b)
( x - 5 ) ( x - 5 )
c)
( x + 5 ) ( x + 5 )
d)
Prime
14.
Factor:
x2 + 0x - 144
x2 + 0x - 144
a)
(x + 12)2
b)
(x - 12)(x + 12)
c)
(x - 12)2
d)
122
15.
Factor:
b2 + 8b + 7
b2 + 8b + 7
a)
(b + 4)(b + 3)
b)
(b + 6)(b + 1)
c)
(b + 7)(b +1)
d)
prime
16.
Factor: n2 - 2n + 1
a)
(n + 1)(n - 1)
b)
(n + 1)²
c)
prime
d)
(n - 1)²
17.
Factor:
n2 + 10n + 25
n2 + 10n + 25
a)
(n + 5)(n - 5)
b)
(n + 25)(n + 1)
c)
(n - 5)2
d)
(n + 5)2
18.
Factor:
x2 + 7x - 30
x2 + 7x - 30
a)
(x + 10)(x - 7)
b)
(x - 10)(x + 3)
c)
(x + 10)(x + 3)
d)
(x + 10)(x - 3)
19.
Factor
n2 + 5n - 6
n2 + 5n - 6
a)
(n - 2)(n - 3)
b)
(n - 1)(n + 6)
c)
(n + 1)(n - 6)
d)
(n + 2)(n - 3)
20.
a)
x2+4x+8
b)
x2+8x+8
c)
x2+8x+6
d)
x2+6x+8
21.
a)
x2+11x+16
b)
x2+5x+24
c)
x2+11x+24
d)
2x2+11x+24
22.
a)
x2+x-20
b)
x2-x-20
c)
x2-9x-20
d)
x2-x+20
23.
a)
x2+6x-16
b)
x2+10x-16
c)
x2+6x+16
d)
x2-6x-16
24.
a)
5x2+16x+8
b)
6x2+12x+8
c)
6x2+16x+6
d)
6x2+16x+8
25.
a)
7x2+41x+24
b)
12x2+32x+24
c)
12x2+41x+24
d)
12x2+41x+16
26.
a)
20x2-20x-20
b)
20x2-20
c)
20x2+20x-20
d)
20x2+20
27.
a)
30x2-38x-16
b)
30x2+38x-16
c)
35x2+38x-16
d)
30x2+38x+16
28.
a)
9x2-9x-28
b)
9x2+9x-28
c)
6x2-9x-28
d)
9x2-9x-21
29.
a)
5x2-37x+40
b)
4x2-37x-40
c)
4x2+37x+40
d)
4x2-37x+40
30.
a)
25x2+25
b)
25x2+10x-25
c)
25x2-25
d)
25x2-10x-25
31.
a)
45x2-26x-8
b)
45x2-26x+8
c)
45x2+26x-8
d)
45x2-46x-8
32.
6v(2v + 3)
a)
12v+18
b)
15v2 + 8v
c)
12v2 + 18v
d)
12v2 + 18v2
33.
Simplify:
2x ( -2x -3)
2x ( -2x -3)
a)
-4x - 3
b)
x2 - 3
c)
-4x2 - 6x
d)
-4x - 6
34.
(5x+2)(x2-3x+6)
a)
5x3 - 17x2 +24x +12
b)
5x3 + 17x2 - 24x +12
c)
5x3 - 13x2 + 24x +12
d)
5x3 +13x2 - 24x - 12
35.
(4a + 2)(6a2 − a + 2)
a)
24a3 + 16a2 + 6a + 4
b)
24a3 + 8a2 + 10a + 4
c)
24a3 + 8a2 + 6a + 4
d)
24a3 - 8a2 - 6a + 4
36.
Find the area of a rectangle with length (x-5) and width (3x+1).
a)
3x2+16x-5
b)
3x2-14x+5
c)
3x2-14x-5
37.
What is the Area?
a)
2x2 - 3x - 18 inches2
b)
2x2 + 3x + 18 inches2
c)
2x2 + 9x - 18 inches2
d)
2x2 - 9x - 18 inches2
38.
Find the area of the rectangle.
a)
A= 10x + 2
b)
A= 6x2 + 3x
c)
A= 9x
d)
A= 6x+ 3
39.
Find a simplified expression for the area of the shaded region.
a)
2x2 + 2x + 13
b)
10x + 5
c)
10x + 13
d)
2x2 + 13
40.
Find the area of the shaded region:
a)
66x3 + 12x2
b)
80x2 - 24x
c)
66x3 + 40x2 + 24x
d)
66x3 + 92x2 -24x
41.
What is the area for the given rectangle:
a)
6x3 - 9x2 + 10x - 15
b)
6x2 + 1x - 15
c)
6x2 + 4x + 4
d)
6x3 + 1x2 - 15x
42.
The perimeter of the
triangle is 10x+20. Find the length of the missing side
triangle is 10x+20. Find the length of the missing side
a)
6x+10
b)
15x+30
c)
5x+10
d)
5x-10
43.
A rectangle has width (2x + 3) and length (2x - 4). What is the perimeter of the rectangle?
a)
4x - 12
b)
4x - 1
c)
8x - 2
d)
4x2 - 2x - 12
44.
Find the perimeter of a square with side length of
x+2
a)
4x+8
b)
2x+4
c)
x2+4x+4
d)
4x4+8
45.
Find the perimeter of the triangle
a)
4x+64
b)
4x2+64
c)
3x+50
d)
3x2+50
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