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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)
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( 5 – 3x) 2 Is it a perfect square ?
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Simplify 2xy7 . 7xy
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Factor completely 3x 2 + 7x - 20
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Factor by grouping 2x 3 + x 2 - 10x - 5
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Factor the polynomial 5x 4 – 5x 2
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Factor x 3 + 8
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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
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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
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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.
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Factor out greatest common factor 18x 3 + 6x
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Symbolic representation ‘ Multiply x by the quantity 3
plus 2
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If you factor the trinomial x 2 + 3x + 2, do you obtain (x +
1)(x + 2) 2 ? Explain
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Find the least common multiple of 36, 24, 16
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If xy = 0, does it follow that either x = 0 or y = 0 ? Explain
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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
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10x 2 – 9x – 7
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9x 2 – 30x + 25
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14x 2 y8
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(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)
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After 4.125 sec
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12 in x 18 in
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6x ( 3x 2 + 1)
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3x + 2
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Yes; it checks, using FOIL
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144
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Yes, by the zero product property
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To solve equations
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(x + y)(x – y)= x 2 - y 2
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x(x + 3)(x – 3)
30
Zero product property; x = 0, y = 6
Tie Breaker
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