How is dividing a polynomial by a binomial similar to or different from the long division you learned in elementary school? Can understanding how to do one kind of division help you with understanding the other kind? What are some examples from real life in which you might use polynomialdivision?
Total of 29 problems that look like these
What is the degree of f(x) =3x^6 +4x^2 +x - 1
What is the leading coefficient of f(x) = 3x^6 +x^2 +x - 1
Write a polynomial in simplest form with roots 5i and -5i
Solve (x - 1)(x - 2) ? 0
x - 3
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) Determine the value of k so that when P(x) = x(cubed) + kx(squared) - 2x(squared) + 1. Is divided by x + 2, the remainder is 5
2) Using long division, determine the remainder when P(x) is divided by x-3
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 have a polynomial x^4 - 16x^2 + 40x - 25.
I need to know the technique in how to factor it out. Not just the answer.
For example, this answer: (x +5)*(x -1)*(x^2 -4*x +5)
What steps do I need to take to get to that? Or any other factored out answer?
Thank you for your time.