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 itΒs 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 bette
r 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