Given: f(x) = x3 - 4x2 + 8x - 5. Solve, a. List all possible rational zeros. b. Use synthetic division to test the possible rational zeros and find an actual zero. c. Use the quotient from part (b) to find the remaining zeros of the polynomial function.

Q: 2x3 # 2x² -9x + 9

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Q: For the polynomial function ​f(x)=5x4−4x3+44x2−36x−9​,   ​a) Find the rational zeros of​ f(x), and…

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Q: Find a rational zero of the polynomial function and use it to find all the zeros of the function.…

A: To solve the root of the  provided function  f(x)=3x3-17x2+18x+8.  Now, First use the rational…

Q: What is the remainder when the polynomial f(x) = 4x* – 3x³ + x? + 10x – 1 is divided by (x- 2). %3D

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Q: Find all rational zeros of: f(x) = 2r – 113 + 14x² – 11x + 12.

A: f(x)=2x4-11x3+14x2-11x+12

Q: Graph the rational function f(x) = 6/(-2x - 1)

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Q: Find the zeros of the polynomial f(x) = 4/3x +5x-23, and verify the relationship between the zeros…

A: we have givenf(x) =43x2 +5x-23for finding zeros of this polynomial f(x) =0

Q: Find the zeros of the polynomials f(x) =x2 -5x2 -16x +80 ,if it's two zeros are equal in magnitude…

A: Find the zeros of the polynomials f(x) =x2 -5x2 -16x +80 ,if it's two zeros are equal in magnitude…

Q: Find a real root using bracketing method of the polynomial function f (x) = 3x³ + 8x? – 9x – 13.…

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Q: Find the remainder R when f(x) = 3x3 + 11x2 + 4x - 5 is divided by g(x) = x + 2. Is g a factor of f…

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Q: Find the zeroes of the quadratic polynomial x2+7x+10, and verify the relationship between the zeroes…

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Q: Find the rational zeros of the function f(x) = x3 − 7x − 6 .

A: Given the function f(x) = x3 − 7x − 6 . We need to find the rational zeros of the function.

Q: Use the Rational Zero Theorem to find the solutions to the equation x³ + x² – 5x – 5 = 0. - -

A: We have to use rotational zero theorem to find the roots of the equation.

Q: Use an appropriate Chebyshev polynomial to economise f(x) = x³ + 2x² – 5 once

A: In this question, we need to economize the polynomial by using appropriate Chebyshev Polynomial the…

Q: For the function f(x) = 9xª – 21x3 + 13x2 + x - 2: State the degree of the polynomial а. b. How many…

A: Given:f(x)=9x4-21x3+13x2+x-2

Q: Given the polynomial function f(x), find the rational zeros, then the other zeros (that is, solve…

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Q: Use synthetic division to show that c is a zero of f (x) .

A: fx=3x4+8x3-2x2-10x+4,   c=-2 By using synthetic division, we get -2 3        8        -2        -10…

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 the zeros of the polynomial f (x)=x3-5x2-16x+80  ,if it's two zeros are equals tin magnitude…

A: The no. of roots of a polynomial is depend on the degree of polynomial Since, degree of this…

Q: Find the zeros of the polynomials f(x) =x3-5x2-16x+80,if it's two zeros are equal in magnitude but…

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Q: Find all the rational zeros of the function. x3 + 18x2 + 105x + 200

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Q: Use the Rational Zero Theorem to find the zeros of the polynomial function f (x) = x³ – 7x² + 7x +…

A: Answer is in below steps.

Q: List the potential rational zeros of f(x) = x^5 − x^4 + 2x^2 + 3, but donot attempt to find the…

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Q: Find the zeros of the quadratic polynomial f(x) =abx2+(b2-ac) x-bc,and verify the relationship…

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Q: The term containing the highest power of x in the polynomial f (x) is 6x. One of the roots of the…

A: Given the quadratic polynomial x2-2x+3 is a factor of f(x) and the highest power of f(x) = 3 Let…

Q: needed), find the real zeros of the function, f(x) =-75x* – 35x + 20x + 15 (round to three decimal…

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Q: Given the polynomial: f (x) = 2x° + mx* – 40x° + nx² + 218x – 168 And that two of the roots are x= 1…

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Q: (a) Find the rational zeros and then the other zeros of the polynomial function f(x) = 3x +7x +147x…

A: givenf(x)=3x3+7x2+147x+343a.(3x3+7x2)+(147x+343)=0x2(3x+7)+72(3x+7)=0

Q: Given f(x) = 2x3 - 4x + 42. Find a rational zeros of f(x)

A: Given problem :-  f(x) = 2x3 - 4x + 42.   Find a rational zeros of f(x)

Q: Find the domain of the rational function. R(x)=(-3x2)/(x2+7x-30)

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Q: Verify that 3,-1 and -1/3 are the zeros of the cubic polynomial p(x) =3x2-5x2-11x -3 and then verify…

A: Note :- Solved by taking cubic polynomial p(x) = 3x3-5x2-11x -3 ( because in cubic polynomial 'x'…

Q: I need to find a degree 3 polynomial having zeros -5, 1 and 6 and the coefficient of x3x3 equal 1.…

A: Given query is to find the polynomial.

Q: Use your knowledge of the Rational Roots Theorem to find the zeros of f(x)=x²-3x² - 10x + 24. Then,…

A: Ggg

Q: Given: f(x) = 2x3 + 6x2 + 5x + 2. Solve, a. List all possible rational zeros. b. Use synthetic…

A: Given:fx=2x3+6x2+5x+2

Q: Given f(x) = 2x3 - 4x + 42. a) Find a rational zeros of f(x) b) Find the other factors using…

A: Using rational zero theorem:f(x)=2x3-4x+42p=42q=2Possible zeros:pq=422=±1,±2,±3, ±7±2, ±1pq=±1, ±12,…

Q: Find the zeros of the polynomials f(x) =x2-5x2-16x +80 ,if it's two zeros are equal in magnitude but…

A: Consider the polynomial  fx=x3−5x2−16x +80

Q: Given: f(x) = x3 + x2 - 4x - 4. Solve,  a. List all possible rational zeros. b. Use synthetic…

A: Given polynomial function is: f(x) = x^3 + x^2 - 4x - 4 f(x) = x^2(x + 1) - 4(x + 1) f(x) = (x +…

Q: For a polynomial equation P(x) = 0, if P(x) is not factorable, then P(x) = 0 has no real roots.…

A: For a polynomial equation P(x) = 0, if P(x) is not factorable, then P(x) = 0 has no real roots.

Q: FInd

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Q: For the polynomial P(x) = x - 5x – 4x + 20, a) list all the possible rational zeros, b) use a graph…

A: By factorising the equation

Q: Given: f(x) = x3 - 2x2 - 11x + 12. Solve,  a. List all possible rational zeros. b. Use synthetic…

A: Given :  f (x) = x3 - 2 x2 - 11 x + 12  .   To determine :  (a) List all possible rational zeros.…

Q: Use the graph of the polynomial function f(x) (a) to solve f(x)= 0, and (b) find the factorization…

A: Given, Polynomial function, f(x)=-0.5x3+2x2+2x-8 To find: a) Roots of f(x)               b)…

Q: find the zeros of the polynomial f(x) =x3 -5x2 +16x+80,if it's two zeros are equal in magnitude but…

A: Given,           The polynomial is fx=x3-5x2-16x+80.

Q: Use the rational root theorem and polynomial division to find all zeroes of the following…

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Q: Given that 5x - 2is a factor of polynomial functions f(x) kx- bx + 2k, %3D determine the ratio k: b…

A: Given that 5x-2 is a factor of polynomial functions f(x)=kx2-bx+2k.

Q: h(x) = x³ + 5x² - 4x-20 %D

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Q: a) For the function of f(x) = x4 + 1, factor f into the product of two irreducible quadratics.…

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A: Examine the leading term and determine the far-left and far-right behavior of the graph of the…

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.