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Published byHoward McBride Modified over 9 years ago
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1 1 x 2 y 2 – 4x + 9x – 5x 2 y 2
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2 2 Evaluate f(x) = 2x 3 – x 2 – 5x +2 when x = -2
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3 3 Multiply and simplify ( 2x + 1) (5x – 7)
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4 4 ( 5 – 3x) 2 Is it a perfect square ?
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5 5 Simplify 2xy 7. 7xy
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6 6 Factor completely 3x 2 + 7x - 20
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7 7 Factor by grouping 2x 3 + x 2 - 10x - 5
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8 8 Factor the polynomial 5x 4 – 5x 2
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9 9 Factor x 3 + 8
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10 Identify the degree and the leading coefficient of the polynomial 5 – 4x + x 3
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11 Use factoring to solve the polynomial equation 5x 2 = 15x
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13 Whether a trinomial is a perfect square and solve it 4t 2 - 4t + 1 = 0
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14 Solve z, 2z 4 - 8z 2 = 0
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15 Could the graph of a polynomial function be a line ?
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16 Evaluate the polynomial- 4x 2 when x = 2
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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
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18 (a 2 + 3b)(a 4 – 3a 2 b + 9b 2) are the factors of a 6 + 27 b 3
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19 Factor completely x 2 - 5x - 50
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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.
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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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22 Factor out greatest common factor 18x 3 + 6x
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23 Symbolic representation ‘ Multiply x by the quantity 3 plus 2
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24 If you factor the trinomial x 2 + 3x + 2, do you obtain (x + 1)(x + 2) 2 ? Explain
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25 Find the least common multiple of 36, 24, 16
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26 If xy = 0, does it follow that either x = 0 or y = 0 ? Explain
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27 Give one reason for factoring expressions in mathematics
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28 Find an expression that represents the product of the sum and difference of two numbers. Let the two number be x and y
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29 Find the least common multiple x 2 - 9, x(x + 3)
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30 3x(y – 6) = 0, what property you will use to find x, y ?
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1 1 5x - 4x 2 y 2
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2 2 - 8
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3 3 10x 2 – 9x – 7
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4 4 9x 2 – 30x + 25
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5 5 14x 2 y 8
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6 6 (x + 4) (3x – 5)
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7 7 (2x + 1)(x 2 - 5)
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8 8 5x 2 (x – 1)(x + 1)
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9 9 (x + 2)(x 2 - 2x + 4)
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10 3 ; 1
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11 0; 3
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13 Yes ; (2t – 1) 2
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14 -2, 0, 2
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16 - 16
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17 25x - x 2
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18 Yes
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19 (x – 10)(x + 5)
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20 After 4.125 sec
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21 12 in x 18 in
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22 6x ( 3x 2 + 1)
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23 3x + 2
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24 Yes; it checks, using FOIL
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25 144
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26 Yes, by the zero product property
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27 To solve equations
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28 (x + y)(x – y)= x 2 - y 2
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29 x(x + 3)(x – 3)
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30 Zero product property; x = 0, y = 6
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