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1

x 2 y2 – 4x + 9x – 5x 2 y 2

2

Evaluate f(x) = 2x 3 – x 2 – 5x +2 when x = -2

3

Multiply and simplify ( 2x + 1) (5x – 7)

4

( 5 – 3x) 2 Is it a perfect square ?

5

Simplify 2xy7 . 7xy

6

Factor completely 3x 2 + 7x - 20

7

Factor by grouping 2x 3 + x 2 - 10x - 5

8

Factor the polynomial 5x 4 – 5x 2

9

Factor x 3 + 8

10

Identify the degree and the leading coefficient of the polynomial 5 – 4x + x 3

11

Use factoring to solve the polynomial equation 5x 2 =

15x

13

Whether a trinomial is a perfect square and solve it

4t 2 - 4t + 1 = 0

14

Solve z , 2z 4 - 8z 2 = 0

15

Could the graph of a polynomial function be a

line ?

16

Evaluate the polynomial- 4x 2

when x = 2

17

Simplify A rectangular pen has a perimeter of 50 feet. If

x represents its width, write a polynomial that gives the

area of the pen in terms of x

18

(a 2 + 3b)(a 4 – 3a 2 b + 9b 2) are the factors of a 6 + 27 b 3

19

Factor completely x 2 - 5x - 50

20

If a golfball is hit upward with a velocity of 66 feet per second (45 mph), its height h in feet above the ground after t seconds can be modelled by

h(t) = - 16t 2 + 66t. Determine when the ball

strikes the ground.

21

A rectangle has an area of 216 square inches. Its length

is 6 inches more than its width. Find the dimensions of

the rectangle.

22

Factor out greatest common factor 18x 3 + 6x

23

Symbolic representation ‘ Multiply x by the quantity 3

plus 2

24

If you factor the trinomial x 2 + 3x + 2, do you obtain (x +

1)(x + 2) 2 ? Explain

25

Find the least common multiple of 36, 24, 16

26

If xy = 0, does it follow that either x = 0 or y = 0 ? Explain

27

Give one reason for factoring expressions in mathematics

28

Find an expression that represents the product of the

sum and difference of two numbers. Let the two number be x and y

29

Find the least common multiple x 2 - 9, x(x + 3)

30

3x(y – 6) = 0, what property you will use to find x, y ?

1

5x - 4x 2 y2

2

- 8

3

10x 2 – 9x – 7

4

9x 2 – 30x + 25

5

14x 2 y8

6

(x + 4) (3x – 5)

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(2x + 1)(x 2 - 5)

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5x 2 (x – 1)(x + 1)

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(x + 2)(x 2 - 2x + 4)

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3 ; 1

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0; 3

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Yes ; (2t – 1) 2

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-2, 0, 2

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- 16

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25x - x 2

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Yes

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(x – 10)(x + 5)

20

After 4.125 sec

21

12 in x 18 in

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6x ( 3x 2 + 1)

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3x + 2

24

Yes; it checks, using FOIL

25

144

26

Yes, by the zero product property

27

To solve equations

28

(x + y)(x – y)= x 2 - y 2

29

x(x + 3)(x – 3)

30

Zero product property; x = 0, y = 6

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