Which of the following is a factor of the polynomial function P (x) = x – x4 – 50x3 – 49x2 + 36? Show your work algebraically. ОА (3x — 2) о в. (х + 6) С. (х — 8) O D. (x + 1)

Q: 2. Use syntr dhe hirst polynomial by the second. а. х2+x -3; х-1 b. 4x- 3x2+ 3x - 2; x-1 c. x'+x°…

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Q: The function given by f(x) = -3x + V2x + -x (is/is not) a polynomial function.

A: A polynomial is a function such as quadratic, cubic and so on which involve only non-negative…

Q: Make up two polynomials, not of the same degree, with thefollowing characteristics: crosses the…

A: Here it is given that Polynomial  crosses the x-axis at - 2  touchesthe x-axis at 1, and is above…

Q: Find the zeros of the quadratic polynomial f (x) =6x2-3,and verify the delatiob-ahip between the…

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Q: What will be the difference of the two polynomial function p(x) and q(x) at x= 9 where p(x)=6x2…

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Q: Find the condition which must be satisfied by the coefficients of the polynomial p(x)…

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Q: 1. Express the polynomial f(x) = 4x3 – 5x2 + 2x – 3 as a power of x + 2.

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Q: Vhích polynomial would produce the following grap 5 4 3 2 -5 -4 -3 5 -2 -3 -4 -5 y= - x( x - 1)( x -…

A: Given the figure,

Q: Find the y-coordinate of the y-intercept of the polynomial function defined below. f (x) = 3+ 5x? +…

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Q: Find the condition which must be satisfied by the coefficients of the polynomial f(x)=x3 -px2 +qx-r…

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Q: Consider the polynomial function 1 f(x) = 6x° + 10æª 12 24x %3D -- - - 19

A: The given polynomial,f(x)=6x9+10x4-x312-24x-119

Q: Express as a polynomial. (t 2 + 2t - 5)(3t 2 - t + 2)

A: Given: t2+2t-53t2-t+2 For the polynomial, we solve the parenthesis,…

Q: 9. For the polynomial f(x) = x(3x + 1)(x – 2)², determine the leading coefficient, leading term,…

A: Given: fx=x3x+1x-22 Now solve the parenthesis we get, ⇒fx=3x4-11x3+8x2+4x                    ...(1)…

Q: The sum of coefficients of the polynomial f(x) is equal to 2 and the sum of coefficients in even…

A: A polynomial f(x) can be represented by f(x)=a0xn+a1xn-1+...+an-2x2+an-1x+an where…

Q: What is the degree and lead coefficient of the following polynomial? f(z) =−+52 = −x + 5x² − 6x³ +…

A: We have fx=-x+5x2-6x3+10 This can be written as: fx=-6x3+5x2-x+10 The degree is the highest power…

Q: Find the condition which must be satisfied by the coefficients of the polynomial f(x)=x3-px2+qx-r…

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Q: The number of U.S. travelers to other countries during the period from 1990 through 2009 can be…

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Q: 19) Determine a polynomial that represents the area of a square having sides of length s x + 8. B)…

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Q: What are all the zeros of the polynomial function f(x) =x* – 2xr³ – 8x² + 10x + 157 A x = 2, x = 5,…

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Q: What is the lower bound of the polynomial function? f(z) = 1 - 4z - 9z2 +z – 16

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Q: Which polynomial function would have the end behaviour of as x →to, y →o?

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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: List all the possible rational rooots  for the polynomial F(X)=2x^2 -9x+3

A: By quadratic formula for roots of quadratic equation

Q: 1 is a zero of the polynomial P(x) = x³ – 3x* + 7x³ – 13x² + 12x – 4 of multiplicity (а) 3 - - (b) 5…

A: 1 is the zero of given polynomial.

Q: What are the zeros of the polynomial function f(x) = æ4 – 3a – 202 + 6x? O (-2,0), (–/2,0), (2, 0),…

A: By using Horners method

Q: 1. Find all the remaining zeros of this polynomial function 2 = x' + x° + 7x´ + 9x – 18, 3 if one…

A: To find all the remaining zeros of this polynomial function.Px=x4+x3+7x2+9x-18, if one zero is 3i.

Q: 6. Determine the constant term of the polynomial with integer coefficients of lowest degree with…

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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: Q3: Factorize f (x) = 2x* + x³ + 2x + 4 € Z5[x] as a polynomials product to irreducible over Z5?

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Q: (a) What is the degree of Q(7, V3) over Q ? Justify your answer. Is the polynomial X - 5 € QIX)…

A: Degree of extension- Let E be an extension field of a field F i.e. F is a subfield of E, also E is a…

Q: Find the zeros of the polynomials f (x)=x'-5x² – 2x + 24, If it is given that the product of its two…

A: *to find:- roots of the given equation.

Q: Show that factorial polynomial represent the function: -1+2r – 3r2 + 42 is -1+ (2 – 3h + 4h²)æ(-1) +…

A: Given function, -1+2x-3x2+4x3 To show that the factorial polynomial representation of above function…

Q: For which function defined by a polynomial are the ze the polynomial -4 and -6? 1) y = x2 - 10x - 24…

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

A: See the detailed solution below.

Q: list the potential rational zeroes for this polynomial function f(x)= 3x^5 - x^2 + 2x + 24

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Q: Determine Number of Zeroes Num of the Polynomial function: F(x)=x²₁²-9x Zero (5)

A: We have to find zeros

Q: Which polynomial would have the following end behavior? x+ -00, f(x) - -00 x+ 0o, f(x) → -00 A y =…

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Q: #7: For what value of k will the polynomial function f(x)=x'+6x² +kx=4 have the same remainder when…

A: The Polynomial Remainder theorem states that if x-b divides the polynomial, Qx, then the remainder…

Q: 7. Find all the zeros of the polynomial: y = 2x* – 5x³ + 10x – 12. - -

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Q: Find the polynomial f(x) of lowest degree with only real coefficients and having the zeros 3+ V2, 3-…

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Q: 2. Which polynomial function would have the end behaviour of as, x → Ax) = 7x - 8x* - 2x +x + 3x - 2…

A: topic - polynomials The end behavior of a polynomial function is the behavior of the graph of…

Q: Evaluate the polynomial for x = 5 and y= -4. Show your work. -3x°y 4xy² + 5

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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 but…

A: Our objective is to find the zeros of f.

Q: 3 What is the end behavior of this polynomial function f(x) = – 4x* + 9x' – 5x +x – 7? a. Falls to…

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Q: 9. For the polynomial function f(x)= x³ - bx² + cx-24 where b,cel, all of the following are…

A: The given function is a cubic polynomial: f(x)=x3-bx2+cx-24     , here b,c∈I If p is a zero of that…

Q: Find Ao, A1, and 4, in rewriting the function of ()- r>0 in terms of Lagure polynomial, /)=4L(*).

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Q: The value of f(3) for the polynomial f(x)=x3+x2-5x+3 is 24. What does this mean in terms of…

A: Given:  f(x) = x3+x2-5x+3 Now we have f(3) = 24

Q: Express the polynomial x3 + 2x+3 EZ[x]as a product of irreducible polynomials of 75[x]- Attach File…

A: Use the definition of irreducible polynomial and property of ring Z_5[x].

Q: Q1. How many bends are there in the roller coaster? Q2. In the given domain, how many times does…

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