9.(T) Decide whether each polynomial has (x + y) as one of its factors. Justify your decision.(2.5) a) ху-3x^2y-4ху+ 6х^2у b) х^5- х^Зу^2 +x3 -ху^2

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

A:

Q: Determine the stepsize that can be used in the tabu- lation of f (x) = sin x in the interval [0,…

A:

Q: manufacturer finds that the revenue generated by selling x units of a certain commodity is givenby…

A:

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 =…

A:

Q: Find a polynomial that interpolates (-1,4) and (3,6), then find the value of f(x) at x=0 and x= 2.

A:

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: Roots of 1, 2, -4 y-in

A: Polynomial: We need to find a polynomial whose degree is even. Roots are 1,2,-4 y=intercept is -36…

Q: Find a polynomial with -3, 0, 4 as zeros, and of degree 3.

A:

Q: Show that x2 + 3x + 2 has four zeros in Z6.

A:

Q: Explain the other notation which is commonly used for ak in the Newton form of the interpolating…

A: The Newton interpolation polynomial are calculated as: \

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: Explain the problems with the Lagrange form of the interpolating polynomial?

A: Lagrange polynomials are used for polynomial interpolation.

Q: Find a polynomial of degree 5 whose zeros are -4,2,0 ( multiplicity 3) and contains the point (-2,64

A:

Q: 1. Use the Product Rule to differentiate y = x³(2x + 1)*.

A:

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

A:

Q: Determine the first root of: f (x) = –13 – 20x + 19x2 – 3x³ with false position method using initial…

A: We have to determine the root of the given function within the given interval by using Bisection…

Q: State the number of solutions for the polynomial. f (x) = x6 - x4 – 25x2 + 24 ----

A: We have to find the number of solutions for the polynomial…

Q: Find the polynomials connecting the points (0,1), (1,3), and (2,13) ​​by quadratic interpolation.

A:

Q: 7. What is the constant term of the polynomial expression: x* – 2x + x² – 5x + 6? А. 1 8. Express:…

A: Let's find.

Q: If a polynomial cannot be written as the product of two other polynomials (excluding 1 and - 1),…

A: We know that a prime number have only 1 and that number as its factors.

Q: Construct a polynomial with Rational Coefficients with: Even Degree · Roots of 1, 2, -3 y-intercept…

A: Given that:                    A polynomial with:   Even Degree   Roots of 1, 2, -3   y-intercept of…

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

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

A:

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

A:

Q: Does (Z11 , + , .) have subfields? In this case which subfields.

A:

Q: Show that x2 + 3x + 2 has four zeros in Z6

A:

Q: Show that x21 + 2x8 + 1 does not have multiple zeros in anyextensionof Z3.

A:

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

A: Answer and explanation is given below

Q: solve for z 103-17z = 10-1-18z x 10–11+5z 10

A:

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: Find a root of an equation f(x) = x³ – x – 1 using False position method and bisection method.

A:

Q: 13, find all the ze 12. f(x) = 3x³ + 14x² – 7x – 10 %3D -

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 7. 3/2, -2, 1/3. -1 8. -2/3, -1/2, 2. -5, 1 9.-2. 5/2. 1/3, -3, 2

A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

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

A:

Q: Are u able to do polynomial fitting without any mathematical tool? Why?

A: Polynomial fitting manually: a: Polynomial coefficient k: degree of polynomial N: no. of points to…

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

A:

Q: What is the end behavior of a polynomial function of degree 7 with leading coefficient -2?

A: Given: The polynomial function have a degree 7 and leading coefficient is -2. Concept used: The end…

Q: 2. Find a polynomial that interpolates (-1,4) and (3,6), then find the value of f(x) at x=0 and x=…

A:

Q: A Cubic polynomial is dlefined by the table 3. 10 tind the equation of the palyinmal Using Lagrange…

A:

Q: Salx) = 212-4.87x+ 3,2x² -0,53x3 S(K) =FSzcx) = -30,2 +27 53 x- , 6x+ 0,69X, S(x) = 2イ- 40,争K+…

A:

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

A:

Q: Assume that y = 69 when x = -3, y=-72 when x = 15 and y = 99 when x = 27. If we…

A:

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: If the cost of car 1 is (2 + B)(3x+ 4) OR and the cost car 2 is (43x – (9+ B)), find the -- value of…

A:

Q: Eliminate the arbitrary constants of: x^2=Axy+By

A:

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

A:

Q: Sketch the nullcline for: x' = 4 - y2 + x2 Explain.

A:

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

A: