Question

In: Advanced Math

Give an example of a cubic polynomial with zero discriminant (other than x^3=0). Moreover, show that...

Give an example of a cubic polynomial with zero discriminant (other than x^3=0). Moreover, show that the discriminant is zero when two roots coincide.

Solutions

Expert Solution


Related Solutions

Give an example of a function whose Taylor polynomial of degree 1 about x = 0...
Give an example of a function whose Taylor polynomial of degree 1 about x = 0 is closer to the values of the function for some values of x than its Taylor polynomial of degree 2 about that point.
Given: Polynomial P(x) of degree 6 Given: x=3 is a zero for the Polynomial above List...
Given: Polynomial P(x) of degree 6 Given: x=3 is a zero for the Polynomial above List all combinations of real and complex zeros, but do not consider multiplicity for the zeros.
A third degree polynomial equation (a cubic equation) is of the form p(x) = c3x 3...
A third degree polynomial equation (a cubic equation) is of the form p(x) = c3x 3 + c2x 2 + c1x + c0, where x and the four coefficients are integers for this exercise. Suppose the values of the coefficients c0, c1, c2, and c3have been loaded into registers $t0, $t1, $t2, and $t3, respectively. Suppose the value of x is in $t7. Write the MIPS32 instructions that would evaluate this polynomial, placing the result in $t9.
roblem 3 Find the solutions to the general cubic a x^3 +b x^2+c x +d=0 and...
roblem 3 Find the solutions to the general cubic a x^3 +b x^2+c x +d=0 and the solutions to the general quartic a x^4+b x^3+c x^2+d x+e=0. Remember to put a space between your letters. The solutions to the general quartic goes on for two pages it is a good idea to maximize your page to see it. It is a theorem in modern abstract algebra that there is no solution to the general quintic in terms of radicals. Please...
Problem 3 Find the solutions to the general cubic a x^3 +b x^2+c x +d=0 and...
Problem 3 Find the solutions to the general cubic a x^3 +b x^2+c x +d=0 and the solutions to the general quartic a x^4+b x^3+c x^2+d x+e=0. Remember to put a space between your letters. The solutions to the general quartic goes on for two pages it is a good idea to maximize your page to see it. It is a theorem in modern abstract algebra that there is no solution to the general quintic in terms of radicals.
use the given zero to find the remaining zeros of each polynomial function 23. f(x)=x^3-4x^2+4x-16; zero;...
use the given zero to find the remaining zeros of each polynomial function 23. f(x)=x^3-4x^2+4x-16; zero; 2i 27. x^4-9x^3+21x^2+21x-130; zero: 3-2i Find the complex zeroes of each polynomial function. Write f in factored form. 35. f(x)=x^4+5x^2+4 I tried using Descarte's rule for questions 23 and 27, but I don't what to do after that. Also, after you explain the steps I need to solve the question, could you help understand why these steps are necessary?
p(x)=x^4-2x^3+x^2+2x-2 zero: 1-i use the given zero to find all the zeros of the polynomial function
p(x)=x^4-2x^3+x^2+2x-2 zero: 1-i use the given zero to find all the zeros of the polynomial function
Is there a fourth degree polynomial that takes these values? x 1 -2 0 3 -1...
Is there a fourth degree polynomial that takes these values? x 1 -2 0 3 -1 7 y -2 -56 -2 4 -16 376
For the following exercises, use the information about the graph of a polynomial .. The y-intercept is (0, 9). The x-intercepts are (−3, 0), (3, 0). Degree is 2. End behavior: as x → −∞, f(x) → −∞, as x → ∞, f(x) → −∞.
For the following exercises, use the information about the graph of a polynomial function to determine the function. Assume the leading coefficient is 1 or −1. There may be more than one correct answer.The y-intercept is (0, 9). The x-intercepts are (−3, 0), (3, 0). Degree is 2. End behavior: as x → −∞, f(x) → −∞, as x → ∞, f(x) → −∞.
Give an example other than a source of praise of something that could be an extrinsic...
Give an example other than a source of praise of something that could be an extrinsic source of self-esteem for AN ADULT and then give an example of something that could be an intrinsic source.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT