Show that x−6 is a factor of the polynomial p(x)=(1/3)x^3 − (15/2)x^2 + 56x − 138. How many real zeros does P have?   Justify.

Q: Find the zeros of the polynomial f(x) = 3 its two zeros are equal in magnitude but opposite in sign…

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Q: +2x-2 h(x) 5x +

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Q: The number of zeros of the polynomial x² + 4x +1 in Z, is: 4 2 None

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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 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: What are the zeros of the polynomial p (x) = (a - 5) (3x + 5) (x2 – 7x + 12)? %3D Express them in…

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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: 5) Find the intercepts of the polynomial. y=x(x-1)(x+1)

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Q: The number of zeros of the polynomial x² + 3x + 2 in Z, is: 4 2 1 None

A: The polynomial is given as f(x)=x2+3x+2 Z6=0,1,2,3,4,5

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: Test the polynomial x – 2x3 + 6x – 3 for irreducibility over Q.

A: We have to check whether the polynomial x4-2x3+6x-3 is irreducible over the set of rational numbers…

Q: The number of zeros of the polynomial x +3x+2 in z, is: None 4

A: The given polynomial is a 2 degree polynomial  Because the highest power is x is 2  So the zeroes of…

Q: Find the value ofc that makes x² +10x +c a perfect square polynomial

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Q: Find the zeros of f(x) = x² Enter your values separated by a semicolon. Do not include x = in your…

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

A: The answer is given below:

Q: 2. Determine if the second polynomial is a factor of the first polynomial. f(x) = 2x' -11x² – 22x+7;…

A: (x-7) will be a factor of f(x) if on dividing f(x) by g(x) ,we get the remainder zero.

Q: Find the polynomial in x of the third degree, which vanishes when x=-1 and x=2 has  the value 8 when…

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Q: One zero of x3 – 4x = 0 is 0. What are the other zeros?

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Q: Find zeros of f(x)= x^2+8x+60

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Q: If a polynomial f(x) has a remainder of -4 when divided by x-3, what is f(3)? f(3) : %3D

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Q: Find a polynomial / (x) of degree 4 that has the following zeros. 0, -8, 9, -5 Leave your answer in…

A: Given data: The first zero of the polynomial is x1=0. The second zero of the polynomial is x2=-8 The…

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: express f(x) =x³+2x²-x-3 , in term of lagendre polynomial

A: To express the given function f(x)=x3 +2x2 -x-3 in terms of Lagendre polynomial.

Q: We want to find the zeros of this polynomial: p(x) = 2x3 + 4x² – 6x

A: You will find the roots of the given polynomial by factorising

Q: Find factor of polynomial of  p(x) = x^2 - 6x + 8

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Q: 5) If the leading term of a polynomial is -2x18, what do you know about the end behavior? As x → 0…

A: We will find the end behavior of the polynomial when Leading term is given.

Q: 10 h(x) = x³ + 5x² - 4x- 20 %D

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Q: Use synthetic division to show that (x+6) is a factor of f(x) = 2x^3 + 11x^2 -21x – 90, show all…

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Q: What is the polynomial, in factored form, for the function with the leading coefficient 6, and zeros…

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Q: Q3) Write in factor form a 5h degree polynomial whose zeros are +2, -2 and 4 with multiplicity 3

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Q: f(x)=4x' +2x°+lx² -9x° +7x +6

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Q: If a polynomial f(x) has a remainder of -9 when divided by a 3, what is f(3)?

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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 the roots of the polynomial: f (x) = 2(x – 5)³ + 16.

A: Given f(x)=2x-53+16

Q: What can be determined by looking at the factored form of the polynomial…

A: We can use the concept of quadrilateral In order to sove the given problem.

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: Express as a polynomial.

A: .

Q: The number of zeros of the polynomial x^2 +4x+1 in Z6 is:

A: See the detailed solution below.

Q: what could be a polynomial with a degree of 5 if its zeros are -2,1, and 4?

A: The given zeros are, –2, 1 and 4.

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: Is −4 a zero of the polynomial f(x) = 3x4− 6x3+ 5x − 12?

A: For x=4 to be the zero of the given polynomial it must fulfil the necessary condition given as.

Q: What is the degree of the polynomial 9 - 3x + 4y - x2? O 1 O 2 3. O 4

A: Degree is heightest power of polynomial.

Q: find the remainder when the polynomial x^4 - 6x^3 + 4x^2 + 5x +3 is divided by (x + 1)

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Q: Evaluate the polynomial for x= 3 f(x) = 4x3 -10x +23

A: For evaluating any polynomial f(x) = ax3+bx+c. at x=x0 . replace the value of x with x0 Therefore at…

Q: Use the Factor Theorem to show that the statement in the exercise is true.

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Q: Find all the zeros for f(x)=6x^3+294x

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

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

Q: Find the factor of polynomial  f(x) = x^2-6x+8

A: We have to find the factor of polynomial  f(x) = x2 - 6x + 8

Q: Divide the polynomial f(x) = x + 4x? + 5x + 2 by (x + 2) (x + 4x2 + 5x + 2) +(x + 2) to

A: Solve the following