State the degree of the following polynomial equation. Find all of the real and imaginary roots...
Can someone please help me out State the degree of the following polynomial equation. Find all of the real and imaginary roots of the equation, stating multiplicity when it is greater than one The degree of the polynomial is Zero is a root of multiplicity is a root of multiplicity 2. Find a polynomial equation with real coefficients that has the given roots -1, 3,-4 The polynomial equation is x3--o Find a polynomial equation with real coefficients that has the...
State the degree of the polynomial equation. 31) 3(x + 6)2(x - 6)3 = 0 Find all of the real and imaginary roots, stating the multiplicity of each. 32) (x + 5)2(x - 1) = 0 Find the product. 33) (x - 7i)(x + 7i) Find all real solutions to the equation. 34) Vx + 13 = x - 7 Find all real and imaginary solutions. 35) -2x3 + 2x2 + 8x - 8 = 0
The polynomial of degree 4 The polynomial of degree 4, P(x) has a root of multiplicity 2 at x = 4 and roots of multiplicity 1 at x = 0 and x = – 2. It goes through the point (5, 7). Find a formula for P(x). P(x) =
The polynomial of degree 5, P(2) has leading coefficient 1, has roots of multiplicity 2 at I = 1 and I = 0, and a root of multiplicity 1 at I = - 3 Find a possible formula for P(x). P(x) = Question Help: Video Submit Question
10.3 Descartes' Rule of Signs (a) If c. C2, ..., Cm are any m nonzero real numbers, and if 2 consecutive terms of this sequence have opposite signs, we say that these 2 terms present a variation of sign. With this concept, we may state Descartes' rule of signs, a proof of which may be found in any textbook on the theory of equations, as follows: Let f(x) = 0 be a polynomial equation with real coefficients and arranged in...
3. Any polynomial with real coefficients of degree k can be factored com- pletely into first-degree binomials which may include complex numbers. That is, for any real ao, Q1, ..., āk ao + a1x + a22² + ... + axxk = C(x – 21)(x – z2....(x – zk) for some real C and 21, 22, ... Zk possibly real or complex. Therefore, up to multiplicity, every polynomial of degree k has exactly k-many roots, includ- ing complex roots. Find all...
Find a polynomial function of degree 3 with real coefficients that satisfies the given conditions. Zero of - 3 having multiplicity 3; f(2)= 25. f(x) = 0 (Simplify your answer. Use integers or fractions for any numbers in the expression.)
Find a third-degree polynomial equation with rational coefficients that has roots -4 and 2 + i.
Find all roots, both real and complex, of the following polynomials. When appropriate, given the multiplicity of the root. 11. 2x3 + - 4x +1 12. 8x4 + 4x3 - 6x2 – 5x - 1 13. 3x3 + 9x2 +2+3 14.24 +223 +222? + 50c - 75 15. Find the amplitude, frequency, and period of the function f (t) = 4 sin(2t + 7).
1) Using Matlab, find all real and complex roots of the following polynomial equation: (x-1)(x-2)(x-3)(x-4)(x-5)(x-6)(x-7)=8 2) Using Matlab, find the root for the following system of equations. Both x and y are positive. a: (x^2)cos(y)=1 b: e^(-4x)+1