Factor given polynomials using conjugate roots theorem
g(x)=x^3-(1-i)x^2-(8-i)x+(12-6i); 2-i is a zero
Use available methods (in particular, Conjugate Roots Theorem, if suitable) to factor each of the given polynomials completely, making use of given zero if one is given.
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To save for the new car, you put $200 a month into the account earning the interest at 2% per year, compounded continously. How much money do you possess 2 years after first deposit, right before you make deposit?
Diversity of species A virgin forest in northwestern Pennsylvania contains four species of large trees with following proportions of each: hemlock, 0521; beech, 0.324; birch, 0.081; maple, 0.074. Determine measure of diversity H.
Determine the derivatives of the given functions. State what differentiation rules you use. f(x) = x · cos x. f(x) = sin(sin x).
Between a and b, population increases, and there is third number c such that rate of growth increases below c and decreases above c. Draw N'(t) as the function of N(t) for the population.
Calculate the mass of PbO is actually formed when the decomposition of Pb(NO3)2 produces PbO, NO2, O2 with a79.0 % yield and a 7.90-g sample of Pb(NO3)2 is heated.
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A student had a sample that haveBaCl2C2H2O. How many grams of BaCl2C2H2O were present in the original sample if the mass of the sample decreased by 0.786 g.
Determine the Orsatanalysis of the resulting flue gas where the moist hydrogen having 4 mole percent water is burnt totally in a furnace with 32% excess air.
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