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 1/16a. 1/2b. 1/4c. 2d. 4which 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-1b. xc. x+1d. x-2which are upper and lower bounds for the real roots of 3x^4-2x^3+x-9=0?a. 0 and 3b. -2 and 2c. -3 and -1, 1, and 3d. -2 and -1, 1, and 2is it possible for a degree-4 polynomial P(x) to have only complex (no real) roots?a. no it is not possibleb. yes, but neither the coefficients P(x) nor those of p(-x) can have any signsc. yes, but the coefficients must have no sign changes, althougth the coeff of p(-x) may have no sign changesd. yes but the coefficients of p(x) must have 4 sign changesif 2-i is a root of 3x^3-11x+5, then what are it’s other roots?a. 2+i and 5/3b 2+ i and 0c -5, -5/3, -1, -1/3, 1/3, 1, 5/3, 5d. 2+i and -1/3which 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 betterb. the 2% with monthly compound is betterc. you cannot compare plans with different frequencies of compoundingd. the two plans are equalif 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 3/2b. 1/2 and -2/3c. -1 and 6d. -2 and 2/3if 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 numberb there is a zero for p(x) between x=-6 and x=-5c.there is a zero for p(x) between x=-1.12 and x=-.6there is a zero for p(x) between x=-1.12 and x=-.6 but it may be a complex numberwhat 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-7solve ln t=log 50 for ta. t= 50b. t=13.6c. t= 8166.3d. t= 5.47if a cubic polynomial has roots -5 and 6-2i, what is its third root?a. -30+10ib. 5c. 6+2id. 1-2ifind the negative root of x^2-3=0 to the nearest tentha. -1.4b. -1.7c. 1.7d. 1.4find all roots of x^3+2x^2+2x+1. hint: find the rational one(s) firsta. -1, -1/2 -1/2 sqrt3, -1/3+1/2sqrt3b. 1, 2, -2c. -1, -1/2-1/2isqrt3, -1/2+1/2isqrt3d. -1, 1/2, -1/2how many roots does x^6 =3x^5+1 have?a. 1b. 11c. 6d. 5