Form a polynomial​ f(x) with real coefficients having the given degree and zeros.   Degree​ 4; ​ zeros: 4​, multiplicity​ 2; 3i Enter the polynomial. Let a represent the leading coefficient.   ​f(x)=​a ______________________________________ ​ (Type an expression using x as the variable. Use integers or fractions for any numbers in the expression. Simplify your​ answer.)

Q: p(x)= x^5-3x^4+4x^3-8x^2+16   lists all roots of P(x) = 0 where P(x) is the polynomial function…

A: p(x) = x5 - 3x4 + 4x3 - 8x2 +16  This is a 5 degree polynomial . There have 5 roots .

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Q: Write the polynomial function of nth degree given: n = 3, x = -1, x = 4 + i

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Q: Find an​ nth-degree polynomial function with real coefficients satisfying the given conditions. If…

A: To determine completely the cubic polynomial with real coefficient satisfying the given

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Q: A polynomial function is given. T(x) = x4 + 2x3 (a) Describe the end behavior of the polynomial…

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Q: Pis a polynomial defined by P(x) = 4x - 11x – 6x + 9. Two factors are x-3) (x+ 1). Rewrite the…

A: Given px=4x3-11x2-6x+9

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A: The given zeroes are: -1, 6i, -6i Leading coefficient a=1 To find the polynomial function of degree…

Q: Find a polynomial f (x) of degree 3 with real coefficients and the following zeros. 4. -1+i s(4) = 0…

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Q: Form a polynomial whose real zeros and degree are given. Zeros: - 4, - 3,1, 3; degree: 4 Type a…

A: given               zeros = -4, -3 ,1 , 3          degree = 4

Q: Find a degree 3 polynomial whose coefficient of x^3 equal to 1. The zeros of this polynomial are −3,…

A: First of all we will find the factors of this polynomial using the zeros that are given to us. We…

Q: Write Polynomial of lowest pa integer coeficients and Zeros 7-4i an ar (multiplicity

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Q: find the real polynomial f(x) which has zeros x=1 (multiplicity 2) and x=2+i (multiplicity 1). you…

A: We have given the zeros x = 1 with multiplicity 2 and x = 2+i with multiplicity 1.

Q: A country's census lists the population of the country as 264 million in 1990, 286 million in 2000,…

A: Given that the population of the country as 264 million in 1990, 284 million in 2000, and 304…

Q: Evaluate j(-1) given j(x)= 2x4-x³ -35x² + 16x +48. Explain what your answer tells you about x+ 1 as…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Find a polynomial with real coefficients that has the given zeros. -1 and 3-5i One such polynomial…

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Q: Find a degree 3 polynomial with real coefficients having zeros 5 and 4i and a lead coefficient of 1.…

A: Given Zeros = 5 , 4i⇒-4i is also the zeros of the polynomialLeading coefficient =1

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Q: Find all the Zeroes of polynomials of: P(x) =x+ - 5x3 +11x2 25x + 30 = 0. (Show All Steps) %3D Given…

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Q: Let f(x) be a quadratic polynomial with leading coefficient 7. Suppose that f( - 8) =0 and f(4) = 0.…

A: Given: f(x) is a quadratic polynomial with leading coefficient 7.  f(-8)=0 and f(4)

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A: Since you have asked multiple questions in single request.so we will be answering only first…

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Q: Evaluate j(-1) given j(x)= 2x4-x³ - 35x2 + 16x+48. Explain what your answer tells you about x + 1 as…

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Q: f (x) = x - 22 -4x +9, The polynomial function has one negative zero. Between what integers does…

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Q: 2.b

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Q: Use the Leading Coefficient Test to determine the end behavior of the graph of the given polynomial…

A: Given that: f(x)=8x5+7x2-5x+9

Q: The polynomial function P(x) = 0.006A 2 - 0.02A + 120  models a man’s normal systolic blood…

A: P(x) = 0.006 A2-0.02 A+120P(x) represents systolic blood pressure at A

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Q: Consider the algebraic expression 21x° + 23 17x + 20 + 15x - - 21 - What is the degree of this…

A: Using concept of degree of algebraic expression

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Q: 1) Let P(x) = 2x- 3x' +x-15 a) Explain how Descartes' Rule of Signs is used to determine the…

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Q: Find all zeros of the function f(x)=6x3-31x2+34x+15

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Q: Form a polynomial with real coefficients having the given degree and zeros.   Degree​: 4   ​ Zeros:…

A: Given thatDegree 4And multiplicity 2

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A: Explanation of the solution is given below..

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A: If a+ib is a root of a polynomial with real co-efficients then a-ib is also root of that polynomial.

Q: f(x) = 3x + x3 Write in standard form. Is this a polynomial? To what power? What is the…

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Q: 14. For the polynomial below, 1 is a zero. Find all the zeros. h(x) = x³ + x² + 8x – 10 %3D -

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Q: Find a polynomial f (x) of degree 3 with real coefficients and the following zeros. 2, 3+i s(4) = 0…

A: Given  X =2,3+i

Q: Form a polynomial whose real zeros and degree are given.   ​Zeros: −3​, −2​, 2​, 4​; degree: 4…

A: Given that the zeros are −3​, −2​, 2​, 4​ So, the factors are (x+3), (x+2), (x-2) and (x-4).…

Q: Find a degree 3 polynomial with real coefficients having zeros 5 and 3i and a lead coefficient of 1.…

A: A degree 3 polynomial with real coefficient having zeros 5 and 3i and a leading coefficient of 1

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Q: fa and B are the zeroes of the polynomials f(x) = x² - 5x + k such that a - B=1 find the value of k.

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Q: Form a polynomial whose real zeros and degree are given. Zeros: - 5, - 4,1, 3; degree: 4 Type a…

A: We have to find a polynomial whose real zeros are ⇒ -5, -4, 1, 3. Degree of the polynomial = 4.…

Q: A polynomial function is given. Q(x) = -x²(x² – 9) (a) Describe the end behavior of the polynomial…

A: Given, a polynomial function Qx=-x2x2-9. We have to describe the end behaviour of the polynomial…

Roots

The main dissimilarity between real and complex roots is that the real roots are obtained as real numbers, in contrast with the complex roots, which are indicated as imaginary numbers. The standard format for depicting any complex number is in the form of a + bi.