Create a polynomial function whose degree is 4, the leading coefficient is odd and the constant term is even.

Q: Determine the polynomial function of third degree whose zeroes are  3,7,7

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Q: A simplified polynomial that has exactly one term is called a/an__________ .

A: A polynomial that has exactly only one non-zero term is called a monomial. Also, each term of the…

Q: Find the polynomial of the lowest possible degree which assumes the values 3, 12, 15, 21 when x has.…

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Q: Write a polynomial function in standard form with zeros at 5, –4, and 1.

A: The zeros of the polynomial at x=5, -4, and 1. To find the polynomial. Since if x=a is a zero of…

Q: If a fifth-degree polynomial is divided by a second-degree polynomial, the quotient is a -degree…

A: Given

Q: Form a polynomial whose zeros and degree are given

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Q: A polynomial function is written in ________ form when its terms are written in descending order of…

A: Polynomial Function: A polynomial function is defined as an equation/expression consisting of…

Q: Find the x-intercepts of the polynomial function. f(x) = x3 – 9x2 – x + 9 (x, f(x)) = (smallest…

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Q: Find a possible equation for the polynomial whose graph is given

A: The x-intercepts of the graph are x=-2,x=-1,x=1,x=3 Therefore, the factors of the polynomial are…

Q: Find a polynomial function that has the given zeros.−2, −1, 0, 1, 2

A: To Find a polynomial function that has the given zeros Given that the zeros are −2, −1, 0, 1, 2.

Q: Find a degree 3 polynomial that has zeros -4, 2 and 8 and in which the coefficient of x is-12.…

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Q: Find a polynomial f(x) of degree 5 that has the following zeros. 3, -5, 9, -4, 2 Leave your answer…

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Q: When a polynomial function f is divided by x - c, theremainder is_______

A: Give a polynomial function f is divided by x - c

Q: Determine whether the following statement is true or false. If false, explain why. A polynomial…

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Q: What is a polynomialfunction in degree 1

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Q: What is a polynomial function?

A: To Explain: what is a polynomial function

Q: When a polynomial function f is divided by x-c , the remainder is .....................

A: Remainder theorem states that if a polynomial px is divided by x-a then  the remainder is pa.…

Q: Construct a polynomial function with the following properties: fifth degree, 2 is a zero of…

A: We have to construct the polynomial using given properties.

Q: A simplified polynomial that has three terms is called a/an

A: A simplified polynomial that has three terms is called a/an________

Q: Find a polynomial function that has the given zeros.0, 1, 6

A: Given:          x=0, 1, 6 If x=a is a zero of a polynomial f(x), then (x-a) is a factor of f(x). So,…

Q: Find a fourth degree polynomial that has zeros of 3,-3,i

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Q: Construct a polynomial function with the following properties: fifth degree, 2 is a zero of…

A: If a is a zero and m is the multiplicity, we can write it as (x-a)m

Q: A rectangular field is twice as long as its width. If 3 feet are taken from the width, and 4 feet…

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Q: Explain why a polynomial with real coefficients of degree 3 must have at least one real zero.

A: Given, A 3rd degree polynomial with real coefficients. Since the given polynomial is of degree 3,…

Q: write a polynomial function of minimum degree in standard form with real coefficients whose zeros…

A: For any polynomial having roots (a,bc,d) We can write polynomial as (x-a)(x-b)(x-c)(x-d)

Q: In the given equation as follows, determine whether the statement is true or false. If it is false,…

A: If a polynomial has three x-intercepts then there must be three intervals for which the function…

Q: A simplified polynomial that has exactly one term is called a/an

A: Given: A simplified polynomial that has exactly one term is called a/an ......... Concept Used: A…

Q: Find a degree 3 polynomial that has zeros -3, 2 and 5 and in which the coefficient of ² is - 12. The…

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Q: Sketch a higher degree polynomial with the following roots: -2, 3, -3, 6. f(x) 9,

A: It is given that the roots are -2, 3, -3 and 6. That is, x+2=0, x-3=0, x+3=0 and x-6=0. The…

Q: Determine whether the given statement is true or false :"There is more than one third-degree…

A: Given: Statement: "There is more than one third-degree polynomial function with the same three…

Q: Find the equation of the polynomial function, in linear factored form, whose graph is given

A: here we use this graph : in x-axis points are (-2,0),(1,0) and, in y-axis (0,2)

Q: find the polynomial function with the given zeros whose graph passes through the given point.…

A: Given: The zeros of the polynomial are  -3, 1, 4  and the polynomial passes through the point  16,…

Q: Construct a polynomial function with the following properties: fifth degree, 4 is a zero of…

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Q: A simplified polynomial that has three terms is called a/an___________.

A: A simplified polynomial that has three terms is called a/an................

Q: Find a formula for the polynomial of least degree that is graphed below.

A: Given: To Find: The formula for the least degree of the above graph.

Q: Write a polynomial with the given characteristic: A polynomial of degree 4 that has exactly two…

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Q: Explain why a polynomial function of degree 20 cannot cross the x-axis exactly once?

A: Explain why a polynomial function of degree 20 cannot cross the x-axis exactly once?

Q: Find the quadratic polynomial whose graph goes through the points (-2,8), (0, 6), and (1, 11). f(x)…

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Q: What is the polynomial function of least degree whose only zeros are -3,-2, and 4? Drag a value to…

A: Here we find the polynomial function of least degree whose only zeros are -3,-2 and 4

Q: Find the zeros of the polynomial x^3 + x^2 - 3x + 1 and describe the graph

A: Our Aim is to find the zeros of the polynomial given below:-x3+x2-3x+1 -(i) and to describe its…

Q: The x-intercepts of the graph of a polynomial function are called turning points.

A: See attached file for a step by step explanation.

Q: Which polynomial function gets larger and larger in the negative direction as x gets larger and…

A: Find value of function as x→-∞

Q: Find the formula for a third degree polynomial with a zero at x = -5, a double zero at x = 3, and y…

A: Given that the polynomial has a zero at x=-5 So (x+5) is a factor of polynomial. Given that the…

Q: Construct a polynomial function with the following properties: fifth degree, 2 is a zero of…

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Q: If f is a polynomial function, and f(a) and f(b) have opposite signs, what must occur between a and…

A: If we consider geometric interpretation of f, then it be more easier. (I)   As f(a) and f(b) have…

Q: Construct a polynomial function with the following properties: fifth degree, 4 is a zero of…

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Q: What is the equation of this degree 6 polynomial function?

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Q: Find the polynomial of the specified degree whose graph is shown.

A: From the given figure, it is observed that the graph is intersecting x-axis at x=-1,  1  and  2.…

Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.