Which polynomials have a Greatest Common Factor of 3x2 ?

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Presentation transcript:

Which polynomials have a Greatest Common Factor of 3x2 ? A.) 9x5 - 3x4+12 B.) 27x4 - 6x3-24x C.) 48x4 - 108x3- 21x2 D.) 36x7 - 45x5 - 63x3 E.) 3x4- 16x3- 9x2 F.) None of these

(x-2) is a factor of which polynomials? A.) 3x2-11x + 10 B.) 2x2 - 8 C.) 3x2+ 2x -8 D.) All of these E.) None of these

Which trinomials have a factor of x - 3? A.) 2x2 + 5x - 3 B.) 4x2 + 9x - 9 C.) x2+ x - 6 D.) 2x2 - 3x - 9 E.) x2 - 2x - 15 F.) None of these

x2 - 11x + 24? Which of the following is a factor of: A.) x - 3 B.) x - 4 C.) x +3 D.) x - 6 E.) x + 4 F.) None of these

24x2 - 6x - 3 Which of the following is a factor of: A.) 2x + 1 B.) 12x +3 C.) 6x - 3 D.) 4x + 1 E.) 2x - 1 F.) None of these

How many of the following polynomials have 2x - 1 as a factor? 4x2 - 4x - 3 6x2 - 7x + 2 8x2 + 2x - 1 6x2+11x - 7 12x2 - 3 A.) 0 B.) 1 C.) 2 D.) 3 E.) 4 F.) 5

How many of these polynomials are prime? 9 - x2 2x2 - 16 x2 + 2x + 8 x2 - x - 6 x2 - 14x + 33 A.) 0 B.) 1 C.) 2 D.) 3 E.) 4 F.) 5

A.) 0 B.) 1 C.) 2 D.) 3 E.) 4 F.) 5 4x2-1 27-3x2 x2-8x+16 36x2-81 How many of the following polynomials can be factored using the "difference of two squares"? A.) 0 B.) 1 C.) 2 D.) 3 E.) 4 F.) 5 4x2-1 27-3x2 x2-8x+16 36x2-81 x2+100

In mathematics we sometimes use a letter to represent a constant (a number we would know in a particular problem). The letters we use for constants are usually a, b, c and k. In the following expression, how many different integers could k represent so that the trinomial is factorable? x2 + kx +12 For example: k could be -7 because x2 - 7x + 12 factors as: (x - 3)(x - 4). A.) 1 (k could only be -7 because no other integer works) B.) 2 C.) 3 D.) 4 E.) 5 F.) 6 or more

x2 + kx - 4 A.) 1 B.) 2 C.) 3 D.) 4 E.) 5 F.) 6 or more In mathematics we sometimes us a letter to represent a constant (a number we would know in a particular problem). The letters we use for constants are usually a, b, c and k. In the following expression, how many different integers could k represent so that the trinomial is factorable? x2 + kx - 4 A.) 1 B.) 2 C.) 3 D.) 4 E.) 5 F.) 6 or more

Which pair of polynomials have a factor in common? I.) 6x2- 5x - 6 II.) 6x2 - x - 12 III.) 6x2+ 5x - 6 IV.) 6x2 - 5x - 4 A.) I and II B.) II and III C.) I and IV D.) II and IV E.) III and IV F.) None of these

Which pair of polynomials have a factor in common? I.) 6x2 + 13x -5 II.) 6x2 + x - 15 III.) 6x2+11x +3 IV.) 6x2 + 9x - 15 A.) I and II B.) II and III C.) I and IV D.) II and IV E.) III and IV F.) None of these

? 5x2 + kx - 6 I.) If k = 7, then 5x + 3 is a factor. How many of the following statements are true? ? true false 5x2 + kx - 6 I.) If k = 7, then 5x + 3 is a factor. II.) If k = -13, then x + 3 is a factor. III.) If k = -7, then x - 2 is a factor IV.) If k = 13, then 5x + 2 is a factor A.) 0 B.) 1 C.) 2 D.) 3 E.) 4

6x2 + kx -10 ? I.) If k = -11 then 3x + 2 is a factor. How many of the following statements are true? ? true false 6x2 + kx -10 I.) If k = -11 then 3x + 2 is a factor. II.) If k = -59 then 6x -1 is a factor. III.) If k = 7 then x + 2 is a factor. IV.) If k = -12 than the trinomial is prime. V.) If k = -9 then 6x - 5 is a factor. A.) 0 B.) 1 C.) 2 D.) 3 E.) 4 F.) 5