See the attached file.
In problems 1 through 4, write out the polynomial that has the listed factors:
Example: (x), (x-1) ANS: x2-x
1. (x-2), (x+3)
2. x, (x-2), (x-1)
3. (x-2i), (x+2i)
4. x, (x-1), (x+1), (x-2)
In problems 5 through 8, write the polynominal having the listed roots:
6. 2, 1,
1. For each polynomial listed below, determine
i the degree of the polynomial
ii the coefficient of the leading term
iii the constant term
a. P(x) = x + 1
b. Q(x) = 3x + 2
c. R(x) = x2 + 2x + 1
d. W(x) = 4x2 + x + 3
e. Z(x) = 3x3 + 2x2 + x
Please help me with the attached problems by explaining how to solve them.
Use synthetic division to divide the polynomial 4x3 + 10x2 - 11 by x + 3, and state the quotient polynomial and the remainder. [Be careful - notice that there is no x term.]. Show work.
Consider the polynomial f(x) = 5x3 - 9x2 - 17x - 3.
(a) By u
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):
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
Question 1) Determine whether the function is a polynomial function. If it is, state the degree. If it is not, tell why not.
a) Polynomial of degree 4
b) Polynomial of degree 7
Question 2) Form a polynomial whose real zeros and degree are given. Zeros: -1, 0, 5. Degree: 3
Write a polynomial with in