Let g(x)=−6x^6+29x^5+126x^4+135x^3+576x^2+76x−96. Given that -2i is a root of g(x) and that g(x) has at least...

Let g(x)=−6x^6+29x^5+126x^4+135x^3+576x^2+76x−96. Given that -2i is a root of g(x) and that g(x) has at least one rational root, find all the real roots of g(x) in increasing order.

Expert Solution

hope you understood the solution

Thank you and good luck

milcah answered 2 years ago

Let X = {1, 2, 3, 4, 5, 6} and let ∼ be given by {(1,...

Let X = {1, 2, 3, 4, 5, 6} and let ∼ be given by {(1, 1),(2, 2),(3, 3),(4, 4),(5, 5),(6, 6),(1, 3),(1, 5),(2, 4),(3, 1),(3, 5), (4, 2),(5, 1),(5, 3)}. Is ∼ an equivalence relation? If yes, write down X/ ∼ .

5. (a) Let σ = (1 2 3 4 5 6) in S6. Show that G...

5. (a) Let σ = (1 2 3 4 5 6) in S6. Show that G = {ε, σ, σ^2, σ^3, σ^4, σ^5} is a group using the operation of S6. Is G abelian? How many elements τ of G satisfy τ^2 = ε? τ^3 = ε? ε is the identity permutation. (b) Show that (1 2) is not a product of 3-cycles. Must be written as a proof! (c) If a^4 = 1 and ab = b(a^2) in a...

Let R(x) = ( 2x^2 − 8x + 6 ) / (x^2 + 6x + 8)...

Let R(x) = ( 2x^2 − 8x + 6 ) / (x^2 + 6x + 8) a) Find all x such that R(x) is undefined. Find all x such that R(x) = 0. Evaluate R(0). Graph R(x) indicating all vertical and horizontal asymptotes and x and y intercepts. b) Find the intervals on which ( x^2 + 2x + 12 ) / (x − 2) ≥ 2x + 5.

Using extended euclidean algorithm find f(x) and g(x) in: f(x)(x^5 + 4x^4 + 6x^3 + x^2...

Using extended euclidean algorithm find f(x) and g(x) in: f(x)(x^5 + 4x^4 + 6x^3 + x^2 + 4x + 6) + g(x)(x^5 + 5x^4 + 10x^3 + x^2 + 5x + 10) = x^3+1

ID X Y 1 2 3 2 3 6 3 4 6 4 5 7 5...

ID X Y 1 2 3 2 3 6 3 4 6 4 5 7 5 8 7 6 5 7 7 6 7 8 8 8 9 7 8 10 12 11 Test the significance of the correlation coefficient. Then use math test scores (X) to predict physics test scores (Y). Do the following: Create a scatterplot of X and Y. Write the regression equation and interpret the regression coefficients (i.e., intercept and slope). Predict the physics score for each....

6. Let A = {1, 2, 3, 4} and B = {5, 6, 7}. Let f...

6. Let A = {1, 2, 3, 4} and B = {5, 6, 7}. Let f = {(1, 5),(2, 5),(3, 6),(x, y)} where x ∈ A and y ∈ B are to be determined by you. (a) In how many ways can you pick x ∈ A and y ∈ B such that f is not a function? (b) In how many ways can you pick x ∈ A and y ∈ B such that f : A → B...

X 1 3 5 3 4 4 Y 2 5 4 3 4 6 A: Plot...

X 1 3 5 3 4 4 Y 2 5 4 3 4 6 A: Plot the date B: find the line of best fit C: determine ŷ AT x=3 D: Find r and r^2 E: explain r and r^2

find real solutions : x^3+6x^2-6=0

Let F(x)=f(f(x)) and G(x)=(F(x))^2 . You also know that f(6)=14,f(14)=3,f′(14)=4,f′(6)=3. Find F′(6)= and G′(6)= .

[4 5 5 2 4 4 6 3 3 7 5 3 6 3 4 4...

[4 5 5 2 4 4 6 3 3 7 5 3 6 3 4 4 6 5 4 5 3 7 5 5 4 2 6 5 6 6] This is my dataset Find mean, median, mode, variance, standard deviation, coefficient of variation, range, 70th percentile, 3rdquartile of the data and skewness and define what each of these statistics measure. For example, mean is a measure of the central tendency, what about the rest? Use Chebyshev’s rule to find...

Question