The polynomial P(x) has the following characteristsics: degree 3 • real coefficients • zeros at x = 4 and x = - 3 – i y-intercept at (0, 160) | 6, Write the equation for P(x). All numbers appearing in your final answer must be real numbers. You may leave vOur answer in factored form

Q: 2.If a third degree polynomial has a lone x-intercept at x=a,discuss what this implies about the…

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Q: Find a polynomial function with real coefficients that has the given zeros.

A: The given zeros are -52, -5, 1+3i

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 degree 3 polynomial with real coefficients having zeros 11 and 4i4i and a lead coefficient of…

A: Given the 3 zeros of the polynomial function: 11, 4i, -4i The leading coefficient is: 1 Therefore…

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

A: Zeros are -8, 2, 6. So, factors will be –

Q: Find a polynomial f (x) of degree 3 that has the following zeros. 4 (multiplicity 2), -8 Leave your…

A: A polynomial f(x) has zeros,    4multiplicity 2, -8

Q: 2. If a third degree polynomial has a lone x-intercept at x = a , discuss what this implies about…

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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: Suppose that R (x) is a polynomial of degree 10 whose coefficients are real numbers. Also, suppose…

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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 a possible formula for a polynomial with degree n=2 and the zeros are x = -4 and x = 11.

A: Let the polynomial at 2nd degree be             P(x) = x2 + ax + b Given, Zeroes are x = -4 and x…

Q: Find a degree 4 polynomial having zeros -8, -2, 4 and 8 and the coefficient of æ4 equal 1. The…

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Q: Suppose that R (x) is a polynomial of degree 10 whose coefficients are real numbers. Also, suppose…

A: Given that R(x) is a polynomial of degree 10 whose coefficients are real numbers.

Q: Find a polynomial f(x) of degree 4 that has the following zeros. 0, 9 (multiplicity 2), -6 Leave…

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

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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 a polynomial f (x) of degree 5 that has the following zeros. -7, 8, 6, -2, 4 Leave your answer…

A: As, f(x) has five zeros and they are -7, 8, 6, -2, 4, then f be of five degree polynomial.Therefore…

Q: If a third degree polynomial has a lone x-intercept at x=a, discuss what this about the linear and…

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Q: Find a polynomial f (x) of degree 5 that has the following zeros. 3, -4 (multiplicity 2), 7, -2…

A: Find a polynomial F(x) of degree 5that has the following Zeros3,-4 (multiplicity 2) , 7,-2

Q: Graph the polynomial by transforming an appropriate graph of teh form y = xn. Show clearly all x-…

A: Consider the given function as px=2x3-16

Q: Find a polynomial f (x) of degree 4 that has the following zeros. 8, -1 (multiplicity 2), 0 Leave…

A: We have to find a polynomial f(x) of degree 4 that has the following zeros  8,-1,-1,0 i.e x =…

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: Find a polynomial f(x) of degree 3 with real coefficients and the following zeros. 3, 4i

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

A: we have to find an nth degree polynomial function with real coefficients satisfying the conditions…

Q: Find a polynomial f (x) of degree 4 that has the following zeros. 0, 6, 4, -3 Leave your answer in…

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Q: Find a polynomial f(x) of degree 5 that has the following zeros. 5 (multiplicity 2), 0,-3, -8 Leave…

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Q: find a polynomial function of lowest degree with rational coefficients that has the given numbers as…

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Q: Suppose that R (x) is a polynomial of degree 9 whose coefficients are real numbers. Also, suppose…

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Q: Find a polynomial f (x) of degree 5 that has the following zeros. 5 (multiplicity 2), 0, -7, -8…

A: Note:- A zeros of a polynomial are a,b,c,d and f then  Equation of polynomial will be  f(x)=…

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. 0, 6, 4, -3 Leave your answer in…

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

A: Given that the polynomial with real coefficients has a complex zero 9i. then by complex conjugate…

Q: Find a polynomial f (x) of degree 4 that has the following zeros. 7 (multiplicity 2), –3, 0 Leave…

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Q: Find a polynomialf (x) of degree 3 that has the following zeros. 6 (multiplicity 2), –1 Leave your…

A: Given; 6(multiplicity 2),-1.

Q: Suppose that R (x) is a polynomial of degree 9 whose coefficients are real numbers. Also, suppose…

A: Given that R(x) is a polynomial of degree 9 whose coefficients are real numbers. Also suppose that…

Q: Find a polynomial f(x) of degree 4 that has the following zeros. 0, 9 (multiplicity 2), -6.…

A: A polynomial f(x) of degree 4 that has the zeros:    0, 9 (multiplicity 2), -6

Q: 16. Find a fourth degree polynomial that has the zeros 3, -2, i.-C (メ-3) &+) (メ -い)(メ+い)

A: Since we have to find a fourth degree polynomial that has the zeros3, -2, i and -i.Standard form of…

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 a degree 3 polynomial having zeros -2, 1 and 8 and the coefficient of x° equal 1. The…

A: If x=k is a zero of a polynomial, then (x-k) is a factor of the polynomial. Given that the zeros are…

Q: Find a polynomial of degree 3 with real coefficients and zeros of -3,-1, and 4, for which f(-2)=18

A: zeros are  -3,-1, and 4.So factors are (x+3), (x+1) and (x-4). [when x=k is a zero then (x-k) is a…

Q: Find a polynomial f (x) of degree 3 that has the following zeros. -9, 0, 1 Leave your answer in…

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Q: Find a polynomial f (x) of degree 4 that has the following zeros. 0,-2, -6, 5 Leave your answer in…

A: Using the fact that if r is a root then x-r is a factor of the polynomial

Q: Find a polynomial f(x) of degree 5 that has the following zeros. -4, -1, 6 (multiplicity 2), 0 Leave…

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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: Suppose f(x) has zeros at x=−3, x=4, x=5 and a y-intercept of 17.  In addition, f(x) has the…

A: Given that

Q: Find a polynomial of degree 4 with integer coefficient and zeros i and 3 – i (express your answer in…

A: We know imaginary solutions only come in pairs so Given zeros we can written in pairs.

Q: Suppose that R (x) is a polynomial of degree 7 whose coefficients are real numbers. Also, suppose…

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