1. Is (x – 3) a factor of the polynomial p(x) = x' – 11x + 6? Why or why not? 2. What is the remainder of when the polynomial t(x) = 7x – 5x³ + 11x is divided by (x + 1)? Show what you did to answer this question.

Q: B. Find the integral zeros of the following polynomial equations. 1. x-19x - 30 = 0 2. x + 5x2 - 2-…

A: we solve this problem using synthetic division, look at step 2

Q: Find a polynomial function with real coefficients that has the given zeros.2, 2, 1 + i

A: Given- The roots are 2,2 and 1+i. To Find- The polynomial function.

Q: Discuss separability of the polynomial <³ +2ײ+3 3 over Jh5

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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: 1. When the polynomial f(x)= px' +5x +qx-2 where p and q are constants is divided by 2x +3x-2 the…

A:

Q: 1. If the leading coefficient of an odd-degree polynomial function is negative, then the function…

A: Check the end behaviour of the function as x tending to minus infinity and infinity.

Q: 5. Given the following polynomial: x* - x3 + 2x? – 4x – 8 = 0 Use The Rational Root Theorem to find…

A: Since you have posted multiple questions we solve first question for you  To get the solution of…

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: 4) For the function 16 u y=-0.0519x+1.0777x-7.4569x+ 20.247x - 12.333 R=0.6113 12 10 4. time 10…

A:

Q: Find a polynomial of degree 3 that has zeros x = 5 and x = 3i .

A:

Q: Find the second-degree Taylor polynomial for f(x) = 3x? – 4x + 2 about a = 0. %3D P2(x) = %3D What…

A:

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: 10) Find the cost of evaluating p2(x), for a specific x, where p2(x) is the Lagrange interpolating…

A: The cost of p2 (x) for a specific value of x will be given by following formula-

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

A:

Q: 4) For the function 16 4 y=-0.0519x+1.0777x-7.4569x +20.247x- 12.333 P=0.6113 12 10 4. 2. 4. time 10…

A:

Q: Suppose T4(x) = 2 – 4(x – 2) + 5(x – 2)² - 8(x – 2)3 + 5(x – 2)4 is the degree 4 Taylor polynomial…

A: We use Taylor's formula

Q: find a formula for the polynomial P(x) with degree 3 leading coefficient 2 zeros at -5, -3, and 3

A:

Q: 2. Find a formula for the polynomial that matches the follo Degree 5. Single zero at x=-2 and x-3,…

A:

Q: If the result of a polynomial division is 2x 3 − 4x 2 − 5x + 23 x + 2 , make at least three…

A:

Q: 2. If a third degree polynomial has a lone x-intercept at x=a, discuss what this implies about…

A: The x-intercept of a function is the point at which the function touches the x-axis. That is the…

Q: Find a polynomial of degree 3 that has zeros of 3,-4, and 5, and where the coefficient of x2 is 8. O…

A: Given that the zeros are 3, -4 and 5. So the factors of the polynomial is (x-3), (x+4) and (x-5)…

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: Let P(x) = 3–3x² +6x* be the fourth-degree Taylor polynomial for the function about x = 0. What is…

A:

Q: 6. Suppose the polynomial function has the given root. Find the other roots (a) f(x) = 2r3 – 4x2 –…

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

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Q: Q2 /| Find a cubic polynomial of x (5, 147). given points (0, 2), (1, 3), (2, 12),

A: Newton's divided differences interpolation

Q: Consider y' + 2xy = e* Now leverage the equation Σ e* = п! n=0 to approximate y(x) to a third-degree…

A:

Q: 9.The quotient of a third-degree polynomial in x and a first-degree polynomial in x when equated to…

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Q: Express the polynomial x3 + 2x + 3 EZŞ[x]as a product of irreducible polynomials of Z5[x].

A: Explanation of the answer is as follows

Q: Find the second-degree Taylor polynomial for f(x) = 4x² – 8x + 8 about æ = 0. %3D P2(x) = What do…

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Q: b) f(x)=6x+ +7x² – 8x+ 9 Туре of polynomial Degree Sign of leading coefficient End behaviours Domain

A:

Q: 1. Let (x - 1) be a factor of 3x³ - 8x² + 3x + 2. Find the other factors of the polynomial.

A: Since you have posted a multiple question according to guildlines I will solve first question for…

Q: (4) Suppose the coefficients of the cubic polynomial p(x) = a + bx + cx² + dx³ satisfy the equation…

A:

Q: Using Taylor's theorem, formally represent 2x° +x* – 3x³ +x² – 5x +1 as x+1.

A:

Q: What is the sixth-order Taylor polynomial for f(x) =/1+2x² about xo = 0? (A) 1 + x² – 8 16 x6 (B) 1…

A: Taylor series of a function f(x) about x=a is defined as:…

Q: Find the Third degree Taylar polynomial To (x) centered at a-1 for the function fCx) = ã…

A:

Q: Given that the interpolation error is E, (x – x1)(x – x2) ...· (x – xn). (n+1)! Why is the error…

A: We have the interpolation error is En=fn+1ξ(n+1)!x-x1x-x2...x-xn Now, the roots of the Chebyshev…

Q: 4. Use synthetic division to show that c is a zero of the given polynomial function. b. P(x) =2x³ –…

A: Solution is given below:

Q: 6. Does there exist a polynomial of degree 4 with integer coefficients that has zeroes i, 2i, 3i and…

A: Complex root must be in conjugate pair

Q: 29. Select the quadratic polynomial with roots –1 and 4. x2 + 3x – 4 x3 – 2x2 – 7x – 4 4x² + 8x + 4…

A:

Q: The polynomial of degree 33, P(x)P(x), has a root of multiplicity 22 at x=3x=3 and a root of…

A:

Q: 3. Do you agree with the statement that “ cubic functions must have at least 1 x-intercept but not…

A: Given:  To show “ cubic functions must have at least 1 x-intercept but not more than 3". To prove…

Q: Show that the cubic polynomial p(x) = ax3 + bx2 + cx + d has exactly one point of inflection (x0,…

A: Given Data The cubic polynomial equation is p(x)=ax3+bx2+cx+d. The equation is p(x)= x3-3x2+2.…

Q: 2. If the result of a polynomial division is 2x – 4x? – 5x +z. make at least three definitive…

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

Q: Use the factor theorem to find the polynomial of degree 3 having zeroes x = -4, x = 1 - i, and X = 1…

A: A zero of a function is a value in its domain for which the function takes the value 0. A polynomial…

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: find a formula for the polynomial P(x) with degree 3 leading coefficient 1 zeros at -6, 4, and 7…

A:

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.