-2 2 -3 Q4: Find the minimum polynomial of A=| 2 1 -6 then test the -1 -2 diagonalization of A.

Q: Q-6: Find the maximum product of two positive x and y such that 2x + y = 100.

A:

Q: Suppose that |x − 4| ≤ 1.(a) What is the maximum possible value of |x + 4|?(b) Show that |x2 − 16| ≤…

A: Given: that |x-4|≤1⇒ -1≤x-4≤1⇒-3≤x≤5

Q: 40. Determine an equation of a polynomial function with zeros at x = 2, –2, 1, and y-intercept of…

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Q: Find the minimum and maximum of 3+3x2-7x on the interval [0,3].

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Q: The axis of symmetry of the quadratic function f(x) = -8a2 + 19x + 4 is. %3D 19 16 16 17 16 19 19 16…

A: Use simple formula to evaluate

Q: SKETCH the graph of the polynomial f(z) = -2(z+1)°(z – 2)°, showing clearly the intercept(s) and the…

A: Solution is given below:

Q: Find a polynomial function p of degree 2 or less that passes through the points (3, -25), (9, -61),…

A:

Q: A polynomial has only zeroes 1, 2, and 5 with the multiplicities 4, 2 and 1 respectively. What is…

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Q: Use the linear factorization theorem to construct a polynomial function with the given condition.…

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Q: Find the t-intercepts of the polynomial function. C(t) = 2(t – 3)(t + 1)(t – 4) (t, C(t)) = |…

A:

Q: The quadratic function y = 2x² + 3x - 20 has zeroes at x = -4 and x Use this information to find the…

A:

Q: , (-1, 13), and (2, -2).

A: To find the value of a, b and c in the polynomial ax2+bx+c passes through the point (1,1) , (-1,13)…

Q: 5. Find a quadratic function f(x) = ax² + bx + c whose graph passes through (2,-1), and zeros of f…

A:

Q: Find the t-intercepts of the polynomial function. C(t) = 2(t − 5)(t + 1)(t − 7) (t, C(t))  =…

A: We have to find the t-intercepts of the following polynomial function - C(t) = 2(t − 5)(t + 1)(t −…

Q: Find an equation of the cubic polynomial f(x) = ax3 + bx2 + cx + d that passes through the given…

A:

Q: f(x) = 4x - 1.8x2+1.2x3-0.3x4 Find the maximum using Parabolic Interpolation (X0= 1.75, X1=2,…

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Q: 42. If the coefficients of a polynomial function are all positive,then the polynomial has no…

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Q: Consider the graph of the polynomial function. -10 -9 -8 -7 -6 - ! 2 3 $67 8 9 10 Which equation…

A: A polynomial in the variable x is a function of the form anxn+an-1xn-1+···+a1x+a0. This polynomial…

Q: Let a polynomial y = a0 + a1x + a2x 2 + a3x 3 + a4x 4 be given with a0, a1, a2, a3 and a4 are…

A: Let the polynomial function be y=a0+a1x+a2x2+a3x3+a4x4. The points on the polynomial is given as…

Q: The table gives a partial set of values of a polynomial h(x), which has a leading coefficient of 1.…

A:

Q: #41

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Q: A polynomial equation has rools at x = 1, x= -1, and x = 21. What is the minimum degree of the…

A: Option c is correct answer.

Q: Let P0. (x) denote the quadratic polynomial that interpolates the data {(xo, yo), (x1, y1), (x2,…

A:

Q: 1. Find the equation of a polynomial function based on the graph below. State each zero, and their…

A: Degree=highest exponent . if X is even degree then a positive leading coefficient it looks like this…

Q: Find the t-intercepts of the polynomial function. C(t) = 2(t − 5)(t + 1)(t − 8) (t, C(t))  =…

A:

Q: 2. Find a quadratic spline function having the nodes –1,0 and 1, and satisfying the table -1 |0|1 7…

A:

Q: 6. What is the maximum number of turning points that the polynomial function f(x)=- 5x°+9x*+3x³ -…

A:

Q: Find a polynomial of degree 3 (here ao, a1, a2, a3 are real numbers) such that p(x) = ao + a₁x +…

A: This question can be solved using the concept of solving system of linear equation using matrix.

Q: 18. Which polynomial function has zeros -2, ½, 2, 1? * О А. у3 2x4 -Зх3- 7x2 +12х - 4 В. у %3D2х3 -…

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Q: 18. Find a third-degree polynomial with constant coefficient 18 and zeros- 2, and 3.

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Q: . Rewrite the quadratic function in standard form; f(x) = x2 − 16x + 68. b. Give the vertex point.…

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Q: The minimum polynomial of 5'3 over Q is x 1/3

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Q: Find the t-intercepts of the polynomial function. C(t) = 6t(t − 5)2(t + 1) (t, C(t)) =…

A:

Q: Find the polynomial of degree 3 with leading coefficient -2 and zeros at 2, 4, and -3. a) O-2- 10²…

A: The polynomial will bekx-αx-βx-γwhere 'k' is leading coefficient α,β,γ are zerossubstitute…

Q: 2. Consider the polynomial function f(x) =x*+6x³ - 3x² - 96x – 208 . a. How many linear factors does…

A: The number of linear factors of f(x) = the degree of  f(x).

Q: 2 A polynomial function of degree four is shown below. h(x) = 2x4 – 3x3 – 15x2 + 32x - 12 Which of…

A: From the given problem:   hx=2x4-3x3-15x2+32x-12   So,…

Q: 3 and 2i (fully expand the polynomial function) Polynomial Function:

A:

Q: Find a polynomial of degree n that has only the given zero(s). (There are many correct answers.) x =…

A: In this question we have to find a polynomial of degree n that has only the given zero(s).

Q: 18. What quadratic function that passes the point (2, 1) and to its only zero of 3? A. y = x2-6x - 9…

A: Follow the procedure given below.

Q: 2. Let -2 3] 1 5 A = (a) Write down the quadratic form, Q(x), for AT A.

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

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Q: IX. Write a quartic polynomial function with real coefficients in expanded form that has the given…

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Q: Detrmine the polynomial function of degree 3 , with zeros of -2, -4, and 3 which passes through the…

A: NOTE: Refresh your page if you can't see any equations. . here given zeros are so the factored form…

Q: Let h(z) = -2z 2 + 12z + 3. Complete the square and find the maximum value of h.

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Q: How many local maxima and minima does the polynomial haves y = -9x2 +7x +6 a. 1 maximum and 1…

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Q: -4 -11 25 16. Without formally showing that there is a nontrivial linear combination of x-2x, x++x³…

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Q: alpha and beta are zeros of the quadratic polynomial x square-6x+y find the value of y if 3 alpha+2…

A: alpha and beta are zeros of the quadratic polynomial x square-6x+y find the value of y if 3 alpha+2…

Q: Find a quadratic polynomial whose sum and product respectively of the zeroes are as given  also…

A:

Q: 2. Find a quadratic spline function having the nodes -1,0 and 1, and satisfying the table -1 0|1 5…

A: This question is about application of numerical method to obtain quadratic spline

Q: The quadratic function f (x) = 2x2 - 8x + 6 %3D opens [ Select ] * with a y-intercept Select] and an…

A: By sketching graph

Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.