7. What is the constant term of the polynomial expression: x* – 2x + x² – 5x + 6? А. 1 8. Express: 3x2 - 10x - 2x4 + x3 - 24 in standard form. A. 3x2 - 10x - 2x4 + x3 - 24 В. 2 С. 5 D. 6 C. 2x4 + x3 + 3x2 - 10x- 24 D. x3 -2x4 + 3x² - 10x - 24 B. -2x4 + x3 + 3x? - 10x- 24 9. How many real roots does the polynomial equation x2(x - 1)(x + 1) = 0 have? А. 1 В. 2 С. З D. 4

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: 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: 4. If x²-2√3x + 1 = 0 then, a.Show that, x² - 2√2x-1=0. 14 b. Find the value of x¹4 +1 X X c. What…

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Q: Verify the factorization by using synthetic division 3x3 - 5a2-4x + 4 = 3(x+ 1)(x– 2)(x –) Verify…

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Q: What are all the zeros of the polynomial function fx)=x-2r-8r+10x+152 x- -1, x-3, x + V5 A x=1, x =…

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Q: 4. Write a polynomial to express the total value, T(x), of (x + 4) 20-Peso bills (x – 3) 50-Peso…

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Q: What is the smallest positive integer value of x where the exponential fuction defined by the table…

A: Consider the table  X -3 -2 -1 Y 181 127 19 Let the general exponential function  y=abx We…

Q: 8) Is (x+3) a factor of x4 + 2x2 + 17x – 48 Drop coefficients onto top line

A: Given,  x4+2x2+17x-48

Q: 6. Show that when 0</z - 11 < 2, Complex Analysis (z-1)" (2-1)(2-3)=-3 (2- #=() 2(z-1)

A: Here we prove this statement by using series expansion.

Q: 2. If the polynomial f (x) divided by (x – 3) gives a remainder of -1, then the remainder of…

A: Solution is given below:

Q: Express as a polynomial. (4x - 3y)(x - 5y)

A: Given: (4x - 3y)(x - 5y)

Q: ind a polynomial p(x) with zeros as -2,-3,1,3 ?

A: To find a polynomial p(x) with zeros as -2,-3,1,3

Q: Q1. Find the general solution for the non-homogen 1st OLDE using undetermined coefficient method.…

A: Given Y'=-3-456Y+5-6ex

Q: 3. Divide x+4x-3x-2 by X-2) then divide if CX-2) isa factor of x² t4x-3y-2 why?

A: We have to divide (x3 + 4x2 - 3x - 2) by (x - 2)  Then ,

Q: the smallest possibl product of the two numbers x>= 0 and y<= 0, such that 2x-y=120 is:

A: Let x and y be two numbers such that  x≥0,y≤0, 2x-y=120y=2x-120

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

A:

Q: 82z 8. If z = x + y lnxy, show that x- 82z + ミy2 82z 8y2 8x2 δχδν

A:

Q: Select the factors that multiply to create a polynomial with this description: (1) As x→-0, y→-∞ (2)…

A: Given x→-∞ and y→-∞ and x→∞ and y→∞ and x=4 is a root

Q: 18. Express the polynomial 6x -x +2x-4 in standard form. 6x'-2x-4 7 +2x-4 -4+2x-5x 5x +2x-4

A: standard form is the form in which polynomial is written decreasing power of x and all different…

Q: Give the degree of the polynomial. 7 9 -vy

A:

Q: (b) Show that factorial polynomial corresponding to P,- k³ – 4k* + 2k³ – k² + k + 10 is P, = k(5) +…

A: Given: The given polynomials is Pk=k5-4k4+2k3-k2+k+10, To prove Pk=k5+11k4-k3-9k2-k1+10

Q: Prove that 3x3+ 5x - 11 has a root between x=1 and x=2. Thanks!

A:

Q: Divide the polynomial f (x) = to 6 x ^ 3 + 4 x ^ 2 - x + 5 by x ^ 3 - 3 x + 2

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Q: What happens to y=fx) when you replace y with -4y? O vertical stretch by a factor of 4 and a…

A: Vertical stretch: The graph of y=dfx is the vertical stretch of the graph of y=fx by a factor d,…

Q: if x 0 -

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Q: For the polynomial Ax) = 13(x – 6)(66 – 37x²) (a) Report the exact values of the zeros. 66 66 -6 37'…

A:

Q: 4.9 (a) Evaluate the polynomial y = x – 7x + 8x – 0.35 | at x = 1.37. Use 3-digit arithmetic with…

A: Answer for sub question a: First determine the powers of x needed for evaluating the polynomial.…

Q: 2. Determine the polynomial equation with integral coefficients whose roots are -1, -2, and -3.

A: Answer and explanation is given below

Q: Express as a polynomial. (2u +3)(u - 4) ( 4u+u ) 2

A: Given: y=22u+3u-44u+u For expressing given expression as a polynomial, we simplify given expression…

Q: Separate the real roots of polynomials by Sturm's method x4-2x3+x2-2x+1

A: Sturm's method.

Q: 2) Show that a3 + b³ = (a + b)(a² – ab + b²) is a polynomial identity. %3D |

A: Start with Right hand side as follows.

Q: 10) If x = 1 is a zero, what are the other zeros for x3 - 3x2 + x + 1 = 0 ?

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Q: Prove that x -2x+2>0 for value of x.

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Q: Date Per Find the Sum of the Polynomials using the VERTICAL Method 1 (2h2-5h) + (7h-3h2) 2. (m²-m) +…

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Q: 19. The polynomial f(x) = (x – 2)3 = (x – 2)(x – 2)(x – 2) has æ = 2 as a zero four times. True…

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

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Q: 15. Factor the polynomial. 1252 + 27 O (5x – 3)(25x² +15z – 9) О б2 + 3) (2527 -152 + 9) О(ба — 3)…

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Q: 4) Polynomial of lowest de 1) and with f (0) = -18

A:

Q: -5 -4 -3 -2 15 -30- -45 -60- -75 -90 -105- -120- -135- J 2 For the above quartic polynomial f(x):…

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Q: 8) If x = 2 is a zero, what are the other zeros for x3 – x2 - x- 2 = 0 ?

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Q: 6. Give an example of a polynomial function that has each of the following end behaviours: a) As…

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Q: Which of these standard form equation is equivalent to the factored form y= (x+1)(x-2)(x+4)(3x-7) A.…

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Q: 1. Create two different rational polynomial expressions with the following constraints: • one…

A: An expression is undefined when x=4 is given by  px=1xx2-16 An expression is undefined when x=-2 or…

Q: When are the non-negative integer and the real constants called the coefficients of the polynomials?

A: When the non- negative integer and the real constants are expressed as linear combination of finite…

Q: 22. The function In x grows slower than any polynomial Show that In x grows slower as x → oo than…

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Q: Show that the given values for a and b are lower and upper bounds for the real zeros of the…

A: Solution:-

Q: Find the indicated value. fx(9,1) if f(x,y)=9x²y - 5xy³ fx(9,1)= (Type (Type an integer or a…

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Q: 2a] aS a product Of irreducible polynomials.

A:

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: 24. Determine the number of zeroes of the polynomial z7 – 6z5 + 8 in the annulus 1 < |z| < 2.

A: