1. Polynomials with irrational or nonreal zeros [4.5]Use the fact that x = 5 is a zero of the function below to find all other zeros.f(x) = x3 – 11x2 + 40x – 50Other zeros: ___________________________

Q: Find an nth-degree polynomial function with real coefficients, a leading coefficient of 1, and…

A: A polynomial has degree n=3, zeros 3 and 5i

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

A: We are asked to find a polynomial f(x) of degree 3 with real coefficients and the following zeroes…

Q: Find a polynomial function of degree 5 with - 1 as a zero of multiplicity 3, 0 as a zero of…

A: SOLUTION-

Q: 28. The Lagrange's interpolating polynomial for 3 4 f(x) 8.

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Q: 2 a) Consider the polynomial functions f(x)=-(x-1)^2(x-3)(x+1) , answer the followings (i)…

A: f(x)=-(x-1)2(x-3)(x+1) Note: Multiple questions are given, we are answered with first question only…

Q: ind a polynomial function f(x) with real coefficients that has the given zeros. (There are many…

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Q: a. Find a third-degree polynomial f(x) with integer coefficients and with zeros of and 4 + 2i. b.…

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: Which of the following statements are true regarding thegraph of the cubic polynomial f(x) = x3 +…

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Q: 4. Find the polynomial function f(x) of degree 4 with zeros 2 (multiplicity 2) and 3i, f(0) =36

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Q: 8. Consider the polynomial function f(x) = x – 3x³ + 3x? whose domain is (-0, 0). Find the…

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Q: 14. a) Sketch a polynomial function using the following information. Degree 5, negative leading…

A: Degree is 5, negative leading coefficient, zeros are x=-1 multiplicity 2, x=1, x=2, x=3 &…

Q: 5. Find the asymptotic behavior of the polynomial f(x) = -x + 4.x° + 2x³ – a³ + 10x² 12.x – 10 (i.e.…

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Q: 4. Consider the polynomial f(x) = 4.x – 3x + 2. Note that f(-1) 1, and f(1) = 3. Determine if there…

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Q: IV. Write a polynomial f(x) that satisfies the given conditions. 7.) Polynomial of lowest degree…

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

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Q: A polynomial function with rational coefficients has the following zeros. Find all additional zeros.…

A: A polynomial function with zeros -3 mult. 2, 3-3i

Q: 6. List the zeros of the following polynomial function, with their multiplicity F(x) = (x – 3)²(3x…

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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: n of a polynomial f(x) with leading coefficient - 1 and integer zeros is the figure to the right.…

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Q: Find a polynomial f (x) with leading coefficient 1 and having the given degree and zeros.

A: Find a polynomial f (x) with leading coefficient 1 and having the given degree and zeros.  Degree -…

Q: Suppose a polynomial function of degree 4 with rational coefficients has the given numbers as zeros.…

A: Given two roots are: 4 + 5i,  5 + 5 Other two roots of the polynomial with degree 4  = ?

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

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Q: onstruct a polynomial function with the stated properties. Reduce all fractions to lowest terms.…

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Q: 4- By using Lagrange polynomial the vahue of f'(3) from the following table is 52 2 4 112 f(x) -2 F…

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Q: 8. Find a fourth degree polynomial function with zeros 4, –2, 3i, and –3i.

A: given zeros 4,-2,3i and-3i

Q: Consider a third-degree polynomial f(x), which has the properties f'(1) = 0, f'(3) = 0. Determine…

A: We have to tick the true statements about the third order polynomial f(x).

Q: 10. For the polynomial function f(x) = x + 3x³x²-3x we have f(-3) = 0, f(-2)=-6, f(-1) = 0 .f(0) =…

A: topic - polynomials

Q: 3. Find a least degree polynomial function with real coefficients that has the given zeros.(The…

A: Solving the problem by obtaining the polynomial.

Q: 1. (a) (i) Determine the least degree of the polynomial function given by the following graph. (ii)…

A: The graph of a polynomial function can be used to find the zeros, their multiplicity and even the…

Q: 16. Find the zeros for the polynomial function and give the multiplicity for each zero. State…

A: By finding zeros

Q: Find an nth degree polynomial function with real coefficients satisfying the given conditions. N=4;…

A: The roots  given are 2,-12,3+3i. One of the root is complex root and the complex root occur in…

Q: 1. Find a polynomial function P(x) with the given zeros. There is no unique answer for P(x). -2,9…

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Q: 1. Write a polynomial function f of least degree that has rational coefficients, a leading…

A: Topic- Equation

Q: 12) List the potential rational zeros of the polynomial function. Do not find the zeros. f(x) = -2x2…

A: To find: All the potential zeroes of the polynomial function.

Q: 1 Use the polynomials below to find the sum of the given polynomials. Write the type of polynomial.…

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Q: a) The cubic polynomial f (x) is defined by f(x) = x² + ax² + 14x + a + 1 where a is a constant. It…

A: (a) (i) since, x+2 is a factor of f(x) So, (-2) is a root of f(x) So, f(-2) = 0 i.e. (-2)³ + a(-2)²…

Q: 2.b

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Q: 14)Find a polynomial function f with real coefficients having the given degree and zeros. Degree: 4;…

A: Complex Conjugate theorem :-It states that , given the polynomial p(x) with real coefficients…

Q: 3. Find a polynomial function f(x) of degree 3 with real coefficients that satisfies the given…

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Q: N=4, 2, -1/2 and 3+3i are zeros; f(1)=78 Find an nth degree polynomial function with real…

A: If n=4, and 2, -12 and 3+3i are zeros; and f1=78.To find an nth degree polynomial function with real…

Q: 2.a

A: If x=5+4i is a zero then [x-(5+4i)]=(x-5-4i) is a factor of the polynomial. If x=5-4i is a zero then…

Q: Find an nth-degree polynomial function with real coefficients, a leading coefficient of 1, and…

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Q: 2. The graph of f(x) is shown to the right and has the following characteristics. 100 f(x) = x55x4 +…

A: We can solve this as follows:

Q: Find the cubic polynomial function f(x) with real coefficient that has 2, and 1-i as zero and f(1)=3

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: Construct a polynomial function with the stated properties. Reduce all fractions to lowest terms.…

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Q: +4 Hannah makes two claims about the expression Claim 1: The denominator + cannot be represented by…

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Q: p. 4 31. Consider the polynomial, f(x) = x +x - 5x 6, and notice that f(1) =-9 and f(3)- 15. Notice,…

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Q: 3. ( Find a polynomial g(x) of lowest degree with real coefficient and leading coefficient 1 and…

A: Given -1-i is a zero of g(x). So -1+i is also a zero of g(x). So, factors for them are:    x=-1 is…

Q: Suppose a polynomial function of degree 4 with rational coefficients has the given numbers as zeros.…

A: Complex root is always in conjugate pair

Q: a) Find the linear approximating polynomial forf x (*)= ()= centered at x= -1 VI-x b) Find the…

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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.