Determine if (x-2) is a factor of the following (Show work):
4x^3+5x^2-21x-12
What is no?
Factor the following:
21x^3+49x^2=0
What is 7x^2(3x+7)=0 ?
The number of factors that a 96th degree polynomial will have.
What is 96?
Divide the following polynomial by (x-3).
x^3+11x^2+16x-84
What is x^2+14x+58+90/(x-3) ?
The likely number of Punxsutawney Phil's since the inception of the tradition started in 1886.
What is 18 different groundhogs? (Officially there has only been 1).
Factor f(x) = 2x^3 + 7x^2 - 33x - 18 completely given that (x - 3) is a factor.
What is (x - 3)(x + 6)(2x + 1) ?
Factor the following completely:
f(x)=x^4+343x
What is f(x)=x(x+7)(x^2-7x+49) ?
List all the possible rational factors for 3x^4-7x^3+x-6
What are +-1, +-1/3, +-2/3, +-2, +-3, +-6 ?
Find the missing coefficient for the following if (x-7) is a factor:
x^3+kx^2+11x+21=0
What is k=-9 ?
Joe Exotic a.k.a. The Tiger King's real name.
What is Joseph Allen Maldonado-Passage
Solve the following with factoring:
x^4 - 5x^2 = 3x^2 + 48
What is x= 2sqrt3, -2sqrt3,-2i, 2i ?
Daily Double!!!!!!!
Factor with grouping:
33x^2-15x-77x+35=0
What is (-3x+7)(-11x+5)=0 ?
Using p/q you find that 3 and -2 are factors for the following polynomial. Find the remaining factors.
x^4-x^3+30x^2-36x-216
What are x=+-6i ?
Find the missing coefficient if (x+4) is a factor.
3x^4+kx^3-36x^2+72x-32
What is k=-2 ?
This 1847 Missouri Supreme Court case involved an enslaved man who sued for freedom after living in free territories and later became one of the most infamous decisions in U.S. history.
What is Dred Scott v. Sandford?
Solve the following with factoring:
x^4-16x^2=18x^2+800
What is x=+-5sqrt2, +-4i ?
Factor completely using grouping.
18x^3-117x^2+24x^2-156x=0
What is 3x(3x+4)(2x-13) ?
Determine the zeros for the following:
f(x) = x^4 +4x^3 + 7x^2 + 16x +12
What is x= -1, -3, -2i, 2i ?
Find the missing coefficient for the following if (x+3/4) is a factor.
4x^5+kx^2+24x+18=0
What is k=27/16 ?
This sweeping novel by Leo Tolstoy opens with the line “All happy families resemble one another, each unhappy family is unhappy in its own way,” and traces the intertwined fates of the aristocratic Oblonsky, Levin, and Karenin families in imperial Russia.
What is Anna Karenina?
Solve the following with factoring:
x^4+63.5x^2-32=0
What is x=+-8i, +-sqrt2/2 ?
Solve the following using factoring:
3x^5-9x^3-324x=0
What are x=0, +-3i, +-2sqrt3 ?
Determine the zeros for the following and how many there should be:
x^{4}-11x^{3}+42x^{2}-68x+40
What is x=2, 5 and 4 zeros?
Divide the following by (x^2+x-12) :
x^5-7x^4-63x^3+163x^2+626x-1320
What is (x^2+x-12)(x^3-8x^2-43x+110) ?
This counterintuitive quantum phenomenon predicts that frequent observation of an unstable particle can inhibit its decay, effectively “freezing” its quantum state.
What is the Quantum Zeno Effect?