Find the zero of the linear function f(x)=3x-12
Find the zeros of f(x)=x^2-2x-3
Find the vertex of f(x)=x^2-2x+4
Find the axis of symmetry of f(x)=x^2-2x+4
Find the zeros and state the multiplicity of each for
Find the zeros of f(x)=x^2-8x+12
Given f(x) = ex2 + fx + g, where e, f, and g are real numbers,
(a) Find the zeros of the function in terms of e, f, and g.
(b) Under what condition would the zeros of the given function be two distinct real values?
(c) Determine the x-coordinate (the x-value) of the point that would represent the minimum or the maximum of the
I am trying to factor the polynomial f(x) = 2x^3 - 5x^2 - 4x + 3. I think it is (x-3)(x+1)(x- 1/2). Am I right? (See work below.)
Once I factor f(x), how do I use that to find the answers to the following questions?
a) f(x) = 0
b) f(x+2) = 0
c) f(2x) = 0
This is the work that I used to factor f(x):
Use Rouche's Theorem to determine the number of zeros, counting multiplicities, of the polynomials inside the given regions.
a) z^4 + 3z^3 + 6 inside the circle |z| = 2
b) 2z^5 - 6z^2 + z + 1 in the annulus 1 <= |z| < 2
1. Form a polynomial f(x) with real coefficents having the given degree and zeros
Degree 5; Zeros: 2; -i; -7+i
Enter the polynomial f(x)=a(____) type expression using x as the variable.
2. Find a bound on the real zeros of the polynomial function.
Every real zero of f lies between -____and ____ (its not
1. Use the intermediate value theorem to show that the polynomial function has a zero in the given interval.
Find value of f (1.3) ____ (simplify)
Find value of f (1.7) ______ (simplify)
2. Information is given about the polynomial f(x) whose coefficients a
1). Find the quotient, q(x) , and remainder, r(x) , when x^6-2x^5+4x^3-x+1 is divided by x+1.
a) q(x)=x^5-3x^4+3x^3+x^2-x, and r(x)=1
b) q(x)=x^5-x^4-x^3+3x^2+3x-2, and r(x)=-1
c) q(x)=x^5-3x^4+7x^3-8x^2+9, and r(x)=1
d) q(x)=x^5-x^4+3x^3+2x^2+3,and r(x)=-1
2)How do the zeros of g(x)=4x^4-2x^3+3x^2-4x-12 compare to the
See attached file for full problem description.
Please do not sketch, just derive expression and determine the poles and zeros.
12.1 circuit (a)
i) Derive an expression for the transfer function H(s) = V2(s) / V1(s)
ii) Determine all of the poles and zeros of the transfer function.
1.LIST THE ZERO OF THE CUBIC FUNCTION AND TELL WHICH, IF ANY, ARE DOUBLE OR TRIPLE ZEROS y = x squared (x-1)
2. USE THE RATIONAL ZERO THEOREM TO FIND ALL POSSIBLE RATIONAL ZEROS OF THE POLYNOMIAL: g(x) = -3x cubic -8x squared +x+ 14
3.USE SYNTHETIC DIVISION TO FIND UPPER AND LOWER BOUNDS OF THE REAL ZEROS OF f. f(x) =