Ch 10 Review: Polynomial Operations (including factoring)

Perform the indicated operation.

 

(2x - 3x2 + 12) + (4x2-5x -5)

 

Perform the indicated operation:

 

(10x3-3x2 -x +5) - (8x3+7x2- x + 1)

Peform the indicated operation:

 

7x(3x3+ x - 4)

Perform the indicated operation:

 

(2x + 5)(x - 3)

Perform the indicated operation:

 

(x - 12)(x - 2)

Perform the indicated operation:

 

(3x - 1)(3x +1)

Perform the indicated operation:

 

(5x + 2)(7x - 10)

Perform the indicated operation:

 

(2x +3)(5x2+ 4x - 1)

Factor completely

 

4x - 24

Factor completely

 

2x3 + 7x2 - x

Factor completely

 

3x2y- 4xy + 6xy2

Factor completely

 

12x4- 20x3+ 4x

Factor Completely

 

 

x2 - 16

Factor Completely

 

x2 - 4x + 4

Factor Completely

 

x2-2x - 48

(put the smaller factor first)
(put the smaller factor first)

Factor Completely

 

x2 + 9x - 22

(put the smaller factor first)

Factor Completely

 

x2 - 11x + 30

Factor Completely

 

3x2 +x -10

Factor Completely

 

 

9x2- 25y2

Factor Completely

 

 

14x2 + 39x - 35

Factor Completely

 

x4 + x3 + 2x + 2

Factor Completely

 

3x3- 6x2 + x - 2

Factor Completely

 

 

4x3+2x2 + 16x + 8
x =

Solve for x

 

x2 + 7x + 6 = 0

or
x =
x =

Solve  for x

 

7x2 - 2x - 5 =0

or x =
x=

Solve for x

 

5x2= 8 - 18x

or x=

x =

Solve for x

 

16x2 - 81= 0

or x =

What is the vertex of the parabola with the following equation:

 

y = 4x2 - 16x +7

What is the y-intercept of the parabola with the following equation?

 

y = 4x2 - 16x + 7

(ordered pairs will have decimal x-values)

What are the x-intercepts of the parabola with the following equation?

 

y= 4x2 - 16x + 7

and
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