14) For a polynomial with Degree 3; an-5; zeros 2, i, and -i a) Find the complete factored form of the polynomial f(x) with real coefficients b) Express f(x) in expanded form

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A: This question can be solved by using the concept of nature of roots of n degree polynomial.

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A: Topic  = Polynomial

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A: The polynomial is  x3 - 3x2 - 5x + 39

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A: Given zeros of polynomial of degree 4 are -5-4i &amp;-2 withmultiplicity 2

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A: Given query is to find the 5th zero.

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Q: What is the polynomial f(x) with real coefficients having the given degree and zeros for  Degree 4;…

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

Q: 89. Prove that the product of two cubic polynomials is apolynomial of degree six.

A: Suppose two general cubic polynomials are px=a3x3+a2x2+a1x+a0andqx=b3x3+b2x2+b1x+b0where a3≠0, b3≠0

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A: (2-i) is a complex number. So its conjugate (2+i) will be a zero too of the polynomial.  sqrt(3) is…

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A: Given query is to find the factors of the polynomial.

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

Q: ind a polynomial  fx  of degree  5  that has the following zeros. −5 ,   3  (multiplicity  2 ) ,…

A: given that fx is of degree 5having zeros -5,3multiplicity of 2,0,-6write down a polynomial in…

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A: To find the equation in factor form

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A: Given, degree=3 zeros are 3,-2, and -2.

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Q: 7. find a polynomial function with real coefficients that has the given zeros: 0, 3, 2+i

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Q: 18. Find a third-degree polynomial with constant coefficient 18 and zeros- 2, and 3.

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Q: 2. Find a polynomial with integer coefficients that has degree 3 and zeros 3, 2i, -2i.

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A: From the polynomial

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A: In this question , use the given values and solve the equations and find the polynomial.

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A: Factors  Reals roots are x=1,-1,6,2.5,-2.5

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A: Given

Q: polynomial

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Q: A fourth-degree polynomial with real coefficients canhave −5, −8i, 4i, and 5 as its zeros.

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Q: 6. If a polynomial function of degree 4 has 1+i as one of its roots, what is the maximum number of…

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