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Question 7 4 pts Given the following polynomial function: f(x) = 2 - 8x2 + 162...
Consider the following polynomial function. f(x) = – 8x10 + 2 (a) Determine the maximum number...
Consider the following polynomial function. f(x) = – 8x10 + 2 (a) Determine the maximum number of turning points of the graph of the function. (b) Determine the maximum number of real zeros of the function. Consider the following polynomial function. f(x) = 6x5 + 3x4 + 5 (a) Determine the maximum number of turning points of the graph of the function. turning point(s) (b) Determine the maximum number of real zeros of the function. Consider the following polynomial function....
Consider the following polynomial function. f(x) = – 8x10 + 2 (a) Determine the maximum number...
Consider the following polynomial function. f(x) = – 8x10 + 2 (a) Determine the maximum number of turning points of the graph of the function. (b) Determine the maximum number of real zeros of the function. Consider the following polynomial function. f(x) = 6x5 + 3x4 + 5 (a) Determine the maximum number of turning points of the graph of the function. turning point(s) (b) Determine the maximum number of real zeros of the function. Consider the following polynomial function....
Tell the maximum number of zeros that the polynomial function may have. Then use Descartes' Rule...
Tell the maximum number of zeros that the polynomial function may have. Then use Descartes' Rule of Signs to determine how many positive and how many negative zeros the polynomial function may have. Do not attempt to find the zeros. f(x) = - 8x2 – 3x² + x + 3 What is the maximum number of zeros this polynomial function can have? How many positive real zeros can the function have? (Use a comma to separate answers as needed.) How...
For the polynomial function f(x) = −5x(x + 2)2(x − 1)3: For the polynomial function f(x)...
For the polynomial function f(x) = −5x(x + 2)2(x − 1)3:
For the polynomial function f(x) = -5x(x + 2)(x - 1)": 7. (4 points) The leading term when expanded is -5.2". Use this to describe the end be havior of f(x): as r → , f(x) → as I + -00, f(x) → 8. (4 points) Name the zeros of f(x) and each of their multiplicities. 9. (4 points) Come up with a rational function which has y =...
4. Describe how to find the possible rational zeros of a polynomial function. Use the function...
4. Describe how to find the possible rational zeros of a polynomial function. Use the function f(x)-2x +13-9x2 a. List all possible rational roots b. Use Descartes's Rule of Signs to determine the possible number of positive and negative f(x) = 2t to answer the following. real roots c. Use synthetic division to test the potential rational zeros and find an actual zero d. Use the quotient from part(c) to find all the remaining zeros e. Rewrite f(x) in completely...
Question 19 Given that f(x) = - x(x - 2)2(x + 4). Determine all zeros. Question...
Question 19 Given that f(x) = - x(x - 2)2(x + 4). Determine all zeros. Question 20 Find all possible rational zeros of f(x) = - 3x + 2x +9, using Rational Zero Theorem ONLY. (You are not asked to find the actual zeros of the function. )
ZEROS OF POLYNOMIAL FUNCTIONS 1. Find a polynomial function f(x) of degree 3 that has the...
ZEROS OF POLYNOMIAL FUNCTIONS 1. Find a polynomial function f(x) of degree 3 that has the indicated zeros and satisfies the given condition Zeros: -5, 2, 4 Condition: f(3) = -24 f(x) = 2. Find a polynomial function f(x) of degree 3 that has the indicated zeros and satisfies the given condition. Zeros: -1, 2, 3 Condition: f(-2) = 80 f(x) = 3. Find a polynomial function f(x) of degree 3 that has the indicated zeros and satisfies the given...
hey, please answer all the questions if you can . Question 1: (1 point) Factor the...
hey, please answer all the questions if you can .
Question 1: (1 point) Factor the polynomial x-x2-10 x–8 completely if -2 is a zero. (x + 2)(x + 1)(x-4) -2, 4.-1 (x-2)(x-4)(x + 1) Does not factor (x + 2)(x + 4)(x-1) is a zero Question 6: (1 point) Factor the polynomial 2 x2 - 7x2 + 73-2 completely if 11 / 2(x+)(x + (x + 1)(x + 2) O 2(x-Ź}(* (x + 1)(x + 2) o 2(x+ {...
Find the set of possible rational zeros given the function. 4) f(x) = 2x3 + 9x2...
Find the set of possible rational zeros given the function. 4) f(x) = 2x3 + 9x2 + 12x - 8 Find all the zeroes given a factor. 5) f(x) = x3 - 5x2 + 4x + 6 and (x-3) is a factor. 6) f(x) = x3 - 8x2 + 18x - 12 and (x-2 is a factor.
A polynomial function and its graph are given. P(x) = 2x4 – 2x2 - 6x2 +...
A polynomial function and its graph are given. P(x) = 2x4 – 2x2 - 6x2 + 2x + 4 LLLL X 3 (a) List all possible rational zeros of P given by the Rational Zeros Theorem. (Enter your answers as a comma-separated list.) x= -1,1, - 1, ,2 2 (b) From the graph, determine which of the possible rational zeros actually turn out to be zeros. (Enter your answers as a comma-separated list. Enter all answers including repetitions.) x= -1.1.2
Tell the maximum number of zeros that the polynomial function may have. Then use Descartes' Rule of Signs to determine how many positive and how many negative zeros the polynomial function may have. Do not attempt to find the zeros. f(x) = - 8x2 – 3x² + x + 3 What is the maximum number of zeros this polynomial function can have? How many positive real zeros can the function have? (Use a comma to separate answers as needed.) How...
For the polynomial function f(x) = −5x(x + 2)2(x − 1)3:
For the polynomial function f(x) = -5x(x + 2)(x - 1)": 7. (4 points) The leading term when expanded is -5.2". Use this to describe the end be havior of f(x): as r → , f(x) → as I + -00, f(x) → 8. (4 points) Name the zeros of f(x) and each of their multiplicities. 9. (4 points) Come up with a rational function which has y =...
4. Describe how to find the possible rational zeros of a polynomial function. Use the function f(x)-2x +13-9x2 a. List all possible rational roots b. Use Descartes's Rule of Signs to determine the possible number of positive and negative f(x) = 2t to answer the following. real roots c. Use synthetic division to test the potential rational zeros and find an actual zero d. Use the quotient from part(c) to find all the remaining zeros e. Rewrite f(x) in completely...
Question 19 Given that f(x) = - x(x - 2)2(x + 4). Determine all zeros. Question 20 Find all possible rational zeros of f(x) = - 3x + 2x +9, using Rational Zero Theorem ONLY. (You are not asked to find the actual zeros of the function. )
ZEROS OF POLYNOMIAL FUNCTIONS 1. Find a polynomial function f(x) of degree 3 that has the indicated zeros and satisfies the given condition Zeros: -5, 2, 4 Condition: f(3) = -24 f(x) = 2. Find a polynomial function f(x) of degree 3 that has the indicated zeros and satisfies the given condition. Zeros: -1, 2, 3 Condition: f(-2) = 80 f(x) = 3. Find a polynomial function f(x) of degree 3 that has the indicated zeros and satisfies the given...
hey, please answer all the questions if you can .
Question 1: (1 point) Factor the polynomial x-x2-10 x–8 completely if -2 is a zero. (x + 2)(x + 1)(x-4) -2, 4.-1 (x-2)(x-4)(x + 1) Does not factor (x + 2)(x + 4)(x-1) is a zero Question 6: (1 point) Factor the polynomial 2 x2 - 7x2 + 73-2 completely if 11 / 2(x+)(x + (x + 1)(x + 2) O 2(x-Ź}(* (x + 1)(x + 2) o 2(x+ {...
Find the set of possible rational zeros given the function. 4) f(x) = 2x3 + 9x2 + 12x - 8 Find all the zeroes given a factor. 5) f(x) = x3 - 5x2 + 4x + 6 and (x-3) is a factor. 6) f(x) = x3 - 8x2 + 18x - 12 and (x-2 is a factor.
A polynomial function and its graph are given. P(x) = 2x4 – 2x2 - 6x2 + 2x + 4 LLLL X 3 (a) List all possible rational zeros of P given by the Rational Zeros Theorem. (Enter your answers as a comma-separated list.) x= -1,1, - 1, ,2 2 (b) From the graph, determine which of the possible rational zeros actually turn out to be zeros. (Enter your answers as a comma-separated list. Enter all answers including repetitions.) x= -1.1.2
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