P(x) = x6 − 7x3 − 8 (a) Find all zeros of P, real and complex....

P(x) = x6 − 7x3 − 8

(a) Find all zeros of P, real and complex.

(b) Factor P completely.

Expert Solution

Here the after factoring the equation we got

(x-2)(x^2+2x+4)(x+1)(x^2-x+1)=0

milcah answered 2 years ago

8. All the real zeros of the given polynomial are integers. Find the zeros. (Enter your...

8. All the real zeros of the given polynomial are integers. Find the zeros. (Enter your answers as a comma-separated list. Enter all answers including repetitions.) P(x) = x3 + 6x2 − 32 x = Write the polynomial in factored form. P(x) = 9. Find all rational zeros of the polynomial. (Enter your answers as a comma-separated list. Enter all answers including repetitions.) P(x) = 4x4 − 45x2 + 81 x = Write the polynomial in factored form. P(x) =...

use the Rational Zeros Theorem to find all the real zeros of each polynomial function given...

use the Rational Zeros Theorem to find all the real zeros of each polynomial function given below: f(X)=3X^3 + 6X^2 -15X - 30 f(X) = 2X^4 - X^3 - 5X^2 + 2X + 2

Find all distinct (real or complex) eigenvalues of A. Then find the basic eigenvectors of A...

Find all distinct (real or complex) eigenvalues of A. Then find the basic eigenvectors of A corresponding to each eigenvalue. For each eigenvalue, specify the number of basic eigenvectors corresponding to that eigenvalue, then enter the eigenvalue followed by the basic eigenvectors corresponding to that eigenvalue. A = 11 −10 17 −15 Number of distinct eigenvalues: ? Number of Vectors: ? ? : {???}

Find all of the real and imaginary zeros for the polynomial function. f(x)= 69 x^4-2x^3+62x^2-2x-7

The product of (7x3 + 5x - 8)(2 - 3x) is _______ Is (x + 2) a factor of P(x) = 4x3 - 6x2 + 2x - 12? Explain.

The product of (7x3 + 5x - 8)(2 - 3x) is _______ Is (x + 2) a factor of P(x) = 4x3 - 6x2 + 2x - 12? Explain. 1.) Using synthetic substitution and the Remainder Theorem, I know that the remainder is ________ 2.) Based upon this answer in #1, and in applying the Factor Theorem, I know that (x + 2)_____ is/isn't a factor of P(x) because ______ SHOW how you can completely factor the polynomial expression x3 +...

1.Find all rational zeros of the polynomial, and then find the irrational zeros, if any. Whenever...

1.Find all rational zeros of the polynomial, and then find the irrational zeros, if any. Whenever appropriate, use the Rational Zeros Theorem, the Upper and Lower Bounds Theorem, Descartes' Rule of Signs, the Quadratic Formula, or other factoring techniques. (Enter your answers as comma-separated lists. Enter all answers including repetitions. If an answer does not exist, enter DNE.) P(x) = 12x4 − 11x3 − 18x2 + 5x rational zeros x = 2. Find all rational zeros of the polynomial. (Enter...

Find the real zeros of the function f(x) = -(x+1)^3(x-2)^2 and their corresponding multiplicities. Use the...

Find the real zeros of the function f(x) = -(x+1)^3(x-2)^2 and their corresponding multiplicities. Use the information along with a sign chart (diagram) and then the end behavior to provide a rough sketch of the graph of the polynomial.

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

24. Show that (x ^p) − x has p distinct zeros in Zp, for any prime...

24. Show that (x ^p) − x has p distinct zeros in Zp, for any prime p. Conclude that (x ^p) − x = x(x − 1)(x − 2)· · ·(x − (p − 1)). (this is not as simple as showing that each element in Zp is a root -- after all, we've seen that in Z6[x], the polynomial x^2-5x has 4 roots, 0, 5, 2, and 3, but x^2-5 is not equal to (x-0)(x-5)(x-2)(x-3))

If X~N (8, σ2), find: i. P (8-2σ < X < 8 +3σ) ii. The value...

If X~N (8, σ2), find: i. P (8-2σ < X < 8 +3σ) ii. The value of σ, if P (X ≤ 10) = 0.0778

Question