Use the Factor Theorem to find all the real zeros for the polynomial function f(x) = 2x³ + x² – 5x + 2 given that x + 2 is a factor. Give your answer as comma separated values. For example if the real zeros are 1,2, and 3 you would enter your answer as 1, 2, 3.

Use the Factor Theorem to find all the real zeros for the polynomial function f(x) = 2x³ + x² – 5x + 2 given that x + 2 is a factor. Give your answer as comma separated values. For example if the real zeros are 1,2, and 3 you would enter your answer as 1, 2, 3.

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

Section4.4: Fundamental Theorem Of Algebra And Descartes' Rule Of Signs

Problem 63E

See similar textbooks

Related questions

Q: Consider the polynomial function f(x) = x - 3x3 + 3x? whose domain is (-0, 0). Find the following:

A: d) The given function fx=x4-3x3+3x2 Differentiate with respect to x f'x=4x3-9x2+6x =x4x2-9x+6…

Q: Use the Factor Theorem to find all real zeros for the given polynomial function and one factor.…

Q: Use the rational zeros theorem to list all possible zeros of the function f(x) = 7x° 3x2 + x + 2 |…

Q: What are all the zeros of the polynomial function f(x) = 3x³ – 5.x² - 10x – 62 A x=±3 only B x = 3,…

Q: Use the Intermediate Value Theorem to show that each polynomial function has a real zero in the…

A: Given:that f(x)=3x3-10x+9 ; [-3, -2]Definition of Intermediate value theorem:For any two real…

Q: Find all real zeros of the polynomial function. (Enter your answers as a comma-separated list.) h(x)…

A: …

Q: Find the zeroes of the polynomials f(X) =x3-12x2+39x-28 ,if it is given that the zeroes are in AP

A: Given f(x)=x3-12x2+39x-28 Zeroes are in AP. Let the zeroes be of the form a-d,a,a+d

Q: Use synthetic division to decide whether the given number k is a zero of the polynomial function. If…

A: For synthetic division we find the coefficients of x^2+3x+2.That is 1,3,2

Q: Use the Rational Zeros Theorem to find all of the real zeros of the polynomial function f(x) 5x -…

A: Using the rational zeros theorem, we follow these steps: (1) At first we determine all the factors…

Q: B. Find the real zeros and sketch the graph of the following polynomial functions. 1) P(x) = (x +…

Q: Determine the number of zeros of the polynomial function. f(x) = x^ - x5 X zero(s)

Q: Use the rational zeros theorem to list all possible zeros of the function f(x) = 3x + 5a? + 3a +5.…

A: We have to find possible zeros

Q: Use synthetic division to determine whether the number is a zero of the polynomial function. 3i;…

A: Consider the polynomial function

Q: Use the Intermediate Value Theorem to show that the polynomial f(x) = 3x - 8x² +4 has a real zero…

A: Substitute the value of -1 and 0 in f(x).

Q: Write the expanded form of the polynomial function with real integer coefficients, a lead…

A: Solve the following

Q: Use the given information about the polynomial graph to write the equation. Degree 5 zeros at x =…

A: Given:- Use the given information about the polynomial graph to write the equation. Degree 5 zeros…

Q: Find all real zeros of the polynomial function, n

Q: If the zeros of the polynomial f (x) =x3-3x2+x+1 are a-b,a,a+b .find

Q: What are all the zeros of the polynomial function f(x) = 3x³ – 5x² – 10x – 62 A x = + 3 only B…

A: Given that fx=3x3-5x2-10x-6Solution:put x=3f3=333-532-103-6f3=81-45-30-6=0so, x-3 is a factor of fx

Q: Use the remainder theorem to evaluate the polynomial for the given value of x. f(x)= 3x4 -7x3 -7x2 +…

A: To apply remainder theorem to determine f(3)

Q: Find the zeros of the polynomials f(X) =x3 -12x2+39x-28,if it is given that the zeros are in AP

A: Explained below

Q: Use the Intermediate Value Theorem to determine whether the polynomial function has a zero in the…

Q: Use the Intermediate Value Theorem to show that the given polynomial f(x) = x4 + 6x3 - 18x2 has a…

A: Concept: The calculus helps in understanding the changes between values that are related by a…

Q: If the zeros of the polynomial f (x) =x3-3x2+x+1 are a-b,a,a+b .find a and b

A: We can solve it using the properties of cubic polynomial as below

Q: Use the rational zeros theorem to list all possible zeros of the function f(x) = x + x? Enter the…

A: We can find the possible zeros using the rational zeros theorem as below.

Q: Use the Factor Theorem to find all real zeros for the given polynomial function and one factor.…

Q: The polynomial f(x) = x - ix? + 2ix + 2 has the com- plex number i as a zero; however, the conjugate…

A: Given polynomial: f(x) = x3-ix2+2ix+2

Q: For the polynomial function f(x) = x2 + 2ix - 10:(a) Verify that 3 - i is a zero of f.(b) Verify…

A: Given polynomial function is, f(x)=x2+2ix-10

Q: Use the Rational Zero Theorem to find the zeros of the polynomial function f (x) = x³ – 7x² + 7x +…

A: Answer is in below steps.

Q: Find the Zeros of the polynomial function. f(x) = x2 -11x + 24 O x = -3, 8 O x= -3, -8 O x = 3, -8 O…

A: Given: fx=x2-11x+24 For finding zeros of given equation, we equate it with zero and factorize it

Q: Use the Intermediate Value Theorem to determine whether the polynomial function has a real zero…

A: We will use the intermediate value theorem.

Q: The zeros of the polynomial function f(x)=x² – 2x² – 15x are: a. {-5,–3,0} . b. {-3,5} . c. {-5,3} .…

A: We have the given function as fx=x3-2x2-15x On solving further by making factors, we get the result…

Q: find the zeros and multiplicities of the polynomial f(x)=x^3-x^2-x+1

Q: Use the rational zeros theorem to list all possible zeros of the function f(x) = 3x+r- 2x + 5. Enter…

A: The trailing coefficient of the polynomial is 5 and the leading coefficient is 3. So The factor of 5…

Q: Determine the number of zeros of the polynomial function. f(x) = x4 – 4x zero(s)

A: Consider the given function: f(x)=x4-4x Here, the degree of function f(x) is 4.

Q: What are all the zeros of the polynomial function f(x)=x³ + 3x² – 6x – 16? A -1+/33 x = - 2, x =…

Q: For the polynomial function f(x) = x2 + 2ix - 10:(a) Verify that 3 - i is a zero of f.(b) Verify…

A: Given: f(x)=x2+2ix-10

Q: Write a polynomial function in standard form with zeros at 2, 4, and 5. 0 (2) = 2 382 + 11a 40 %3D…

Q: Use the intermediate value theorem to show if the given polynomial has a real zero between the given…

A: We can make it easier for you.

Q: Use the Factor Theorem to find all real zeros for the given polynomial function and one factor. S…

A: Given that: f(x)=3x3-x2-40x+48; x+4 is a factor.

Q: n which interval does the polynomial function f ( x ) = x 3 − x 2 − 31 have a zero?

Q: Find a polynomial function f(x) having -1,2, and + i as zeros and f(3)=80

A: Given information:

Q: For Exercise, determine if the statement is true or false. If a statement is false, explain why. If…

A: Given that c is a zero of f(x). Let the other zeros of the polynomial f(x) are a1 , a2 , a3 ,…

Q: Use the Intermediate Value Theorem to show that the polynomial function has a zero in the given…

A: Intermediate value theorem: - The intermediate value theorem asserts that if "f" is a continuous…

Q: Use the intermediate value theorem to show that the polynomial function has a real zero between the…

A: We have given the polynomial function : x4 -5x3 -25x2 + 40x + 71 ; -2 and -1 We have to…

Q: Describe the end behavior of the graph of the polynomial function by completing these statements: f…

Q: Use the Intermediate Value Theorem to determine whether the polynomial function has a zero in the…

Q: Show that the polynomial function f(x) = 3x3 - 10x + 9 has a real zero between -3 and -2.

A: Given that, fx=3x3-10x+9

Q: Determine the zeros and the vertical intercept of the polynomial function: f(x) = 4(x – 2)²(x +…

Question

still confused on how to approach to find the other zeros(if there are any), I have the x=-2 as one of the zeros from using the Factor Theorem...

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

Factor Theorem Use the Factor Theorem to show thatthe statement in the exercises is true. Show that 12 is a zero of the polynomial P(x)=2x4+x35x2+10x4 .
Number of Intercepts and Local Extrema How many x-intercepts and how many local extrema does the polynomial P(x)=x34x have? How many x-intercepts and how many local extremadoes the polynomial Q(x)=x3+4x have? If a > 0. bow many x-intercepts and how many local extrema does each Of the polynomials P(x)=x3ax and Q(x)=x3+ax have? Explain your answer.
Using Descartes’ Rule of Signs. we can tell that the polynomial P(x)=x53x4+x2+8x8 has _______________, ____________________positive real zeros and _____________negative real zeros.
Building Envelope The building code in a certain town requires that a house be at least 10 ft from the boundaries of the lot. The buildable area or building envelope for the rectangular lot shown in the following figure is given by A=(x20)(y20) a Explain how the expression for A is obtained. b Expand to express A as a polynomial in x and y. c A contractor has a choice of purchasing one of two rectangular lots, each having the same area. One lot measures 100 ft by 400 ft; the other measures 200 ft by 200 ft. Which lot has the larger building envelope?
Fill in the blanks. When x=a is a zero of a polynomial function f, the three statements below are true. (a) x=ais a of the polynomial equation f(x)=0. (b) is a factor of the polynomial f(x). (c) (a,0)is an of the graph of f.