math qs

Which of these is the result of (x^5-x^3+2x^2-9x+5)/(x+2)?
a. x^4+2x^3+3x^2+8x-1+ (3/x+2)
b. x^3-3x^2+8x-25+ (25/x+2)
c. x^4-2x^3+3x^2-4x-1+ (7/x+2)
d. x^3+x^2+4x-1+ (3/x+2)

Evaluate log 1/4 1/16
a. 1/2
b. 1/4
c. 2
d. 4

which of these is the remainder when 4x^4-5x^3+9 is divided by x-3?
a. (468)/(4x^4-5x^3+9)
b. (198)/(x-3)
c. (468)/(x-3)
d. (198)/(4x^4-5x^3+9)

which of these is a factor of 2x^100-x^7-1?
a. x-1
b. x
c. x+1
d. x-2

which are upper and lower bounds for the real roots of 3x^4-2x^3+x-9=0?
a. 0 and 3
b. -2 and 2
c. -3 and -1, 1, and 3
d. -2 and -1, 1, and 2

is it possible for a degree-4 polynomial P(x) to have only complex (no real) roots?
a. no it is not possible
b. yes, but neither the coefficients P(x) nor those of p(-x) can have any signs
c. yes, but the coefficients must have no sign changes, althougth the coeff of p(-x) may have no sign changes
d. yes but the coefficients of p(x) must have 4 sign changes

if 2-i is a root of 3x^3-11x+5, then what are it's other roots?
a. 2+i and 5/3
b 2+ i and 0
c -5, -5/3, -1, -1/3, 1/3, 1, 5/3, 5
d. 2+i and -1/3

which is better for the investor, an investment that pays 2% annual interest compounded monthly or an investment that pays 2.1% interest annually?
a. the 2.1% annual is better
b. the 2% with monthly compound is better
c. you cannot compare plans with different frequencies of compounding
d. the two plans are equal

if 1 and -6 are two of the roots of 6x^4+31x^3-33x^2-16x+12, then what are the other two?
a. 2 and 3/2
b. 1/2 and -2/3
c. -1 and 6
d. -2 and 2/3

if p(x) is a polynomial with P(-6)=-1.12 and P(-5)=0.6 then which of the following must be true?
a. there is a zero for p(x) between x=-6 and x=-5 but it may be a complex number
b there is a zero for p(x) between x=-6 and x=-5
c.there is a zero for p(x) between x=-1.12 and x=-.6
there is a zero for p(x) between x=-1.12 and x=-.6 but it may be a complex number

what would a graph of y=e^x+1 look like?

use the rational roots theorem to list all possible rational roots of 24x^3+2x-7

solve ln t=log 50 for t
a. t= 50
b. t=13.6
c. t= 8166.3
d. t= 5.47

if a cubic polynomial has roots -5 and 6-2i, what is its third root?
a. -30+10i
b. 5
c. 6+2i
d. 1-2i

find the negative root of x^2-3=0 to the nearest tenth
a. -1.4
b. -1.7
c. 1.7
d. 1.4

find all roots of x^3+2x^2+2x+1. hint: find the rational one(s) first
a. -1, -1/2 -1/2 sqrt3, -1/3+1/2sqrt3
b. 1, 2, -2
c. -1, -1/2-1/2isqrt3, -1/2+1/2isqrt3
d. -1, 1/2, -1/2

how many roots does x^6 =3x^5+1 have?
a. 1
b. 11
c. 6
d. 5