Question

Could you please solve so I can double check my answers for the practice quiz? Thank You!!

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

Answer 1

what is your thinking? We don't do tests for you.

That would be cheating.

Answer 2

it is not a test, it is a practice quiz they helped us make in order to prepare for the test, I just want help double checking my answers

Answer 3

That's fine -- but I don't see YOUR answers. If you post them, someone will check them for you.

Answer 4

1) a
2) b
3) d
4) a
5) d

Answer 5

Were those wild guesses? In #2, the discriminant (b^2 = 4ac) is obviously not 4.