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January 31, 2015

January 31, 2015

Posted by **cal** on Tuesday, October 7, 2008 at 3:34pm.

1) a

2) b

3) d

4) a

5) d

1. Solve x^3 + 6x^2 + 13x + 10 = 0.

a) –2 + 2i, –2 –2i, –2

b) 2 + i, 2 – i, –2

c) –2 + i, –2 – i, –2

d) 2 + 2i, 2 – 2i, –2

2. Find the discriminant and describe the nature of the roots of 3x^2 + 6x + 3 = 0.

a) The discriminant is 0 and there is/are one real root.

b) The discriminant is 4 and there is/are one real root.

c) The discriminant is 0 and there is no real root.

d) The discriminant is 7 and there is/are one real root.

3. Use the remainder theorem to find which of the following is not a factor of x^3 + 12x^2 + 47x + 60.

a) x + 5

b) x – 5

c) x + 4

d) x + 3

4. List all the rational roots of f(x) = 24x^3 – 10x^2 – 7x + 2.

a) -1/2, 1/4 ,2/3

b) -2/3,1/4 ,2/3

c) -1/2,1/3,1/2

d) -2/3,1/2,-1/4

5. Use the rational-root theorem to find the roots of 12x^3 – 8x^2 – 3x + 2 = 0.

a) -2/3,1/2,1/4

b) 2/3,-1/2,1/2

c) -1/2,1/2,1/4

d) 2/3,-1/3,1/3

- math -
**bobpursley**, Tuesday, October 7, 2008 at 4:02pmThe first two are wrong, I will check the others later.

- math -
**bobpursley**, Tuesday, October 7, 2008 at 4:25pm3 is wrong, 4 is right, 5 is wrong

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