Practice Page
Directions: Answer these questions pertaining to polynomials. Check each answer when finished.
The cartoon comments may, or may not, be helpful!

1.
Multiply:   (x - 2)(x2 + x + 1)
Choose:
x3 - x2 - x - 2 x3 - 3x2 - 3x - 2
x3 + 3x2 + 3x - 2 x3 + x2 - x - 2
pm pic1

 

 

2.
Multiply:   x(x + 2y)(x + 3y)
Choose:
x2 + 5xy + 6y2 x3 + 5x2y2 + 6y3
x3 + 5x2y + 6xy2 x3 + 6x2y + 6xy2
pmpic2

 

 

3.
Multiply:   (2a2 + 5a + 3)(a2 - 3a - 4)
Choose:
2a4 - 11a3 - 26a2 - 29a - 12
2a4 + a3 - 20a2 - 29a - 12
2a4 + 5a3 - 26a2 - 29a - 12
2a4 - a3 - 20a2 - 29a - 12
pmpic3

 

 

4.
Multiply:   (x + 1)(x3 + 2x2 + 3x - 8)
Choose:
x4 + 2x3 + 5x2 - 5x - 8
x4 + 3x3 + 5x2 - 5x - 8
x4 + 2x3 + 5x2 + 5x - 8
x4 + 6x3 + 6x2 - 5x - 8
pmpic5

 

 

5.
Multiply:   (2x2 - x - 3)(x + 4)
Choose:
2x3 + 7x2 - 7x - 12 2x3 + 9x2 - x - 12
2x3 + 8x2 - 7x - 12 2x3 - 7x2 - 7x - 12
pmpic10

 

 

6.
Find the missing factor:  
(x + 5)•whitebox = 2x2 + 13x + 15
Choose:
(2x - 3) (2x + 3)
(x + 3) (x - 3)
pmpic6a

 

 

7.
Multiply:   (x2 + 7x + 1)(3x2 + 4x - 2)
Choose:
3x4 + 25x3 + 29x2 - 10x - 2
3x4 + 25x3 + 33x2 - 18x - 2
3x4 + 21x3 + 28x2 - 14x - 2
3x4 + 4x3 + 3x2 + 4x - 2
pmpic8

 

 

8.
Multiply:   (x + 1)(x + 2)(x + 3)
Choose:
x2 + 3x + 2 x3 + 5x2 + 12x + 6
x3 + 6x2 + 11x + 6 x3 + 9x2 + 12x + 6
pmpic9

 

 

9.
Multiply and simplify:  
(a + b)(a - 2b) - (a + 2b)(a - b)
Choose:
a2 - 4ab - 4b2 2a2 - ab - 2b2
2a2 - 4b2 -2ab
pmpic4a

 

 

10.
Multiply:   (x + b)(2x + 3b + 4)
Choose:
3x2 + 6xb + 5x + 3b2
2x2 + xb + 4x + 4b + 3b2
2x2 + 10xb + 3b2
2x2 + 5xb + 4x + 4b + 3b2
pmpic7a

 

 

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