The graph and degree of a polynomial with real coefficients f(x) are given below. Determine the number of realzeros and the number of imaginary zeros. Assume that all the zeros of f(x) are distinct.Choose the correct answer below.Use the remainder theorem to find the remainder when f(x) is divided by the given x- k.OA. There is one real zero and four imaginary zeros.OB. There are four real zeros and one imaginary zero.OC. There are three real zeros and two imaginary zeros.OD. There are two real zeros and three imaginary zeros.OE There are two imaginary zeros.OF There are three real zeros.Degree 5f(x) = 3x2 - 5x + 6y=f(x)х-2When 3x2 - 5x + 6 is divided by x - 2, the remainder isii)Consider the graph and associate it with the appropriate function.v)Choose the correct functionSolve the polynomial equation.x3 + 49x = 0O A. f(x) = (x – 1)(x + 3)²O B. f(x) = (x + 1)² (x- 3)OC. f(x) = (x – 1)² (x+ 3)The solution(s) is/are.(Simplify your answer. Express complex numbers in terms of i. Use a comma to separate answers as needed.)vi)Solve the equation. Find all real solutions.Isfa rational function?Determine whether f is a rational function and state its domain.O Yesn3 - 9n² --n+9= 0x - 6x + 1f(x) =2x -9O NoThe solution(s) is/are(Simplify your answer. Use a comma to separate answers as needed.)

f(x) = 3x2 - 5x + 6 and divisor = x - 2 By using remainder theorem

Answered: Use the remainder theorem to find the…

Use the remainder theorem to find the remainder when f(x) is divided by the given x-k. f) = 32 - Sx +6 x-2 When 3x - 5x + 6 is divided by x-2, the remainder is

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter4: Polynomial And Rational Functions

Section4.5: Zeros Of Polynomial Functions

Problem 79E

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Question

The graph and degree of a polynomial with real coefficients f(x) are given below. Determine the number of real
zeros and the number of imaginary zeros. Assume that all the zeros of f(x) are distinct.
Choose the correct answer below.
Use the remainder theorem to find the remainder when f(x) is divided by the given x- k.
OA. There is one real zero and four imaginary zeros.
OB. There are four real zeros and one imaginary zero.
OC. There are three real zeros and two imaginary zeros.
OD. There are two real zeros and three imaginary zeros.
OE There are two imaginary zeros.
OF There are three real zeros.
Degree 5
f(x) = 3x2 - 5x + 6
y=f(x)
х-2
When 3x2 - 5x + 6 is divided by x - 2, the remainder is
ii)
Consider the graph and associate it with the appropriate function.
v)
Choose the correct function
Solve the polynomial equation.
x3 + 49x = 0
O A. f(x) = (x – 1)(x + 3)²
O B. f(x) = (x + 1)² (x- 3)
OC. f(x) = (x – 1)² (x+ 3)
The solution(s) is/are.
(Simplify your answer. Express complex numbers in terms of i. Use a comma to separate answers as needed.)
vi)
Solve the equation. Find all real solutions.
Isfa rational function?
Determine whether f is a rational function and state its domain.
O Yes
n3 - 9n² -
-n+9= 0
x - 6x + 1
f(x) =
2x -9
O No
The solution(s) is/are
(Simplify your answer. Use a comma to separate answers as needed.)

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