write a polynomial f(x) in general form that has the following characteristics.  degree 3 leading coefficient of 4 one double root at x=-8 one root at x=3/2 f(x)=

Q: Find a polynomial f(x) of degree 3 that has the following zeros. 2, -6, 0 Leave your answer in…

A: Given: The degree of the polynomial is 3. The zeroes of the polynomial are 2, -6, 0

Q: Find a polynomial function of degree 7 with - 3 as a zero of multiplicity 3, 0 as a zero of…

A: Explanation of the solution is given below...

Q: A degree five polynomial with a negative leading coefficient is called a _function and its right arm…

A:

Q: Find a polynomial function with real coefficients that has the given zeros.4, −3i

A: Given: Zeros: 4, -3i

Q: Three of the zeros of a fourth-degree polynomial function f are -3, 4, and -5i. What is the other…

A:

Q: 35. Write a third-degree polynomial f(x) with integer coefficients and with zeros of -2i and.

A: Given: A third degree polynomial with integer coefficients and with zeros of -2i and 5/3. Concept…

Q: A polynomial function P(x) is given by 5x^3+bx^2+cx+d and has zeros at the points (0,0) and (2,0).…

A: We can find value of b as follows

Q: Find a polynomial function of degree 3 with real coefficients that has the given zeros. -2, 3,-8 The…

A: we have to find a polynomial of degree 3 with real coefficients that has the roots as -2,3,-8. Given…

Q: The sum of coefficients of the polynomial f(x) is equal to 2 and the sum of coefficients in even…

A: A polynomial f(x) can be represented by f(x)=a0xn+a1xn-1+...+an-2x2+an-1x+an where…

Q: Find a polynomial function f of degree 4 whose coefficients are real numbers that has the zeros…

A: Given: Zeros of polynomials are 1,1,and -4+i.

Q: Find a degree 3 polynomial having zeros -2, 1 and 8 and the coefficient of x3x3 equal 1. The…

A: Zeroes are the values which makes the value of the polynomial zero. As zeroes of the polynomial is…

Q: Let f(x) be a polynomial with real coefficients. The polynomial f(x) leaves the remainder 2x +1 when…

A:

Q: Form a polynomial f(x) with real coefficients having the given degree and zeros. Degree 5; Zeros:…

A: Zeroes always exist in conjugate pairs for imaginary numbers. So conjugate of -i is i and conjugate…

Q: Find an nth-degree polynomial function with real coefficients satisfying the given conditions, n =…

A: Given: n=4;  means the polynomial's maximum power will be 4zeroes:−2, −12 and if(1)=18

Q: FIND THE ZEROS OF THE POLYNOMIAL FUNCTIONS AND STATE ITS MULTIPLICITY:   f(x) = x ( 3X – 5 ) ( X –…

A: Consider the given function fx=x3x-5x-32x+13

Q: Find an nth-degree polynomial function with real coefficients satisfying the conditions n = 4; -2, -…

A: nth degree polynomial function: f(x)=a0xn+a1xn-1+....+an

Q: Determine whether the statement is true or false, "Every polynomial equation of degree 3 with real…

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

Q: If the leading coefficient of an odd-degree polynomial function is positive, then the function…

A: Given: If the leading coefficient of an odd-degree polynomial function is positive, then the…

Q: Determine the roots and the end behavior of tthe polynomial f(x)=(x+2)2(x-1). Be sure to explane how…

A:

Q: Find an nth-degree polynomial function with real coefficients satisfying the given conditions, n =…

A: n=4, zeroes are -4, 13, 2+3i and f1=100. Since 2+3i is the zero of the polynomial function,…

Q: Find the x-intercepts of the polynomial function. f(x) = x3 + x2 − 16x − 16 (x, f(x))  =…

A: To find the x-intercept put y =0 and solve for x, So, x3+x2-16x-16=0    ...(1)

Q: Find a polynomial function of degree 3 with real coefficients that has the given zeros. -1, 2,-9 The…

A:

Q: 9.The quotient of a third-degree polynomial in x and a first-degree polynomial in x when equated to…

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Q: Write an algebraic expression for a degree 3 polynomial with real coefficients having zeros 4 and 3i…

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Q: In Problem,explain why the facts given are contradictory.

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Q: (b) Find a polynomial function of degree 4 whose zeros: -i; 3 (multiplicity 2).

A:

Q: What is the polynomial of degree zero

A: Degree of Polynomial: In a polynomial highest power of variable is called degree of polynomial.

Q: Find an nth-degree polynomial function with real coefficients satisfying the given conditions, n =…

A: Consider the given zeroes of the polynomial function fx, 6 , -5+2i Since, the roots of complex…

Q: Find a polynomial function with real coefficients that has the given zeros. (There are many correct…

A: The required polynomial is, f(x) = x⁴ - 13x³ + 47x² - 43x - 104    The detailed solution is as…

Q: Find a polynomial f (x) of degree 4 that has the following zeros. 4, -5, 0, -2 Leave your answer in…

A: Write in factor form

Q: polynomial function with real coefficients whose zeros are as shown in the image and a solution…

A:

Q: Find a polynomial f (x) of degree 3 with real coefficients and the following zeros. -4,-3+i f(6) =…

A: Imaginary roots always exists in pairs.

Q: find a degree 3 polynomial having zeros -8, 2, and 6 and the coefficient of x3 equal 1. the…

A:

Q: Find a possible formula for a polynomial with degree n=2 and the zeros are x = 4 and x =-5.

A: It is given that, degree n=2 and the zeros are x=4 and x=-5 We have to find formula for a polynomial…

Q: Find an nth-degree polynomial function with real coefficients satisfying the conditions n = 3; -5…

A: To find a polynomial with: degree,n=3zeroes: -5,4+3if2=91

Q: The graph of polynomial function f(x)=a(x+1)^2(x−2) passes through point (0,2). Find the value of…

A: The graph of polynomial function f(x)=a(x+1)2(x−2)passes through point(0,2)

Q: How do you find a polynomial function with given zeroes?

A:

Q: Find the x-intercepts of the polynomial function. f(x) = x3 + x2 − 25x − 25

A:

Q: Find a polynomial of degree 5 with integer coefficients and has zeros ½, -i, and 1 – i, and leading…

A: Given,           The leading coefficient of the polynomial is 4 and zeros of the polynomial are 1/2,…

Q: Find the equation for a polynomial f(x) that satisfies the following: · Degree 3 · Zero at r = 2 ·…

A: Explained below

Q: Find the general polynomial function of lowest possible degree with real number coefficients that…

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Q: Give one example of a polynomial of degree 4 that has zero at x=5 with multiplicity 2

A:

Q: Find a polynomial function of degree 7 with - 1 as a zero of multiplicity 3, 0 as a zero of…

A: topic - polynomials

Q: Find a polynomial f(x) of degree 3 that has the indicated zeros and satisfies the given condition.…

A: here we us e the linear factors for the zeroes given see below the calculation

Q: Find a polynomial f (x) of degree 3 that has the following zeros. 6, -2, 0 Leave your answer in…

A: If an element 'a' is zero of a polynomial then we have (x-a) is factor of polynomial.

Q: Write a polynomial, P(x), in factored form given the following requirements. Degree: 5 Leading…

A:

Q: Find a polynomial of degree 3 with real coefficients and zeros of −​3,−​1, and​ 4, for which…

A: Given data:     The first zero of the polynomial is: x1=-3. The second zero of the polynomial is:…

Q: The polynomial of degree 3, P(x), has a root of multiplicity 2 at x=1 and a root of multiplicity 1…

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Q: if 7+5i is a zero of a polynomial function of degree 5 with real coefficients, then so is

A: Given:   7+5i is a zero of a polynomial function of degree 5 withreal coefficientsWe know that  A…