Let f(x) = , find L, (x) of the second Lagrange interpolating polynomial, if x, =2, x, =2.5, X2 =4 Select one: a. (x - 6.5)x + 10, b. (0.05x - 0.425)x + 1.15 (-4x + 24)x – 32 3 (x – 4.5)x + 5 O d. 3

Q: Use the Intermediate Value Theorem to show that each polynomial has a real zero between the given…

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Q: ving polynomials for x = 2 and x = -2, ree of each polynomial. %3D %D -10 + 3

A: The degree of a polynomial is the highest power of the variable in a polynomial expression.

Q: (10) 3 f(-1) = 1, f(1) = f(0) = 4, and f(r2) = f(1) = 1, to construct interpolating polynomials of…

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Q: Convert the following polynomials to factorial poly 1. (x-7)(x-6)(x - 5)(x+4) 2. (x+6) (x + 7)(x +…

A: We have to solve 1. (x-7)(x-6)(x-5)(x+4)2. (x+6)(x+7)(x+8)(x+9)(x-10)

Q: Which of the following is a polynomial function?

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Q: Evaluate the following polynomials? 1.P(2)=x³–3x²–x+2 2.P(3)=2x³+2x²–4x+1 3.P(-2)=x³–8x²–2x+5

A: As per the policy we are solving first three subparts.   Please repost and specify which subparts…

Q: 1. Identify which of the following are polynomial functions and, for those that are, specify the…

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Q: Convert the following polynomials to factorial polynomials 1. x³ + 8x² - 4x - 1 2. 2x45x³ + 2x² - 4x…

A: The given polynomials are: 1. x3+8x2-4x-1 2. 2x4-5x3+2x2-4x+9 3. x4+2x3+x2-6x-4 We have to convert…

Q: USE SYNTHETIC DIVISION 16 x4 17 x2 2x - 6 ÷ x – 2 -

A: Solving the problem by finding the results.

Q: 4. Describe the end behaviour of each polynomial function using the K degree and the leading…

A: As you asked for multiple subpart according to our guideline we give only first three of them.…

Q: Select all polynomials that have (z- 2) as a factor. Choose all answers that apply: O A(x) = x3 + x²…

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Q: Determine Q(x) when P(x)=x³-5x2-3x+2 is divided by x-1 and then expressed in the form Select one: O…

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Q: The following polynomial relates the specific heat to constant pressure of dry air Cp (in KJ/KgK),…

A: Given: Cp=1.2 KJ/KgK. Substitute the value of Cp in…

Q: Below are two Lagrange interpolating polynomials, L₁ and L2. Following these are interpolating poly-…

A: For the first Lagrange polynomial, the points are:  x0=2,x1=5,x2=6,x3=8 Now,…

Q: 5. Find the best fit by a first degree polynomial for the following data: x -3 -1 0 2 y 8 5 4 1

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Q: Use differences to determine the polynomial function for the given data: f(x) -5 -6 -1 3. 10 27 4)

A: First find the differences D1 between the points in fx and check whether it is a constant. If yes,…

Q: 1. Identify the degree, end behavior and roots (w (a) f(x) = r³(x + 1)²(x² + 9)(x² – 4) - (b) /(x) =…

A: Degree of polynomial is the highest power of 'x' on polynomial equation Roots are found when f(x) =…

Q: Consider the following function: 2x 8x -18 1 -1 -8x 18 8 3 0 f(x) -X 10 1 2 0 0 When f(x) is…

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Q: Match each of the following polynomial with whether it is even, odd or neither. - v P(x) = 3x4 -5x²…

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Q: Q// Fit a second-order polynomial to the following data: Y 9 8 3 7 9 11 9 6 1 7 1 3 10 9. 1 a. y =…

A: Given x y 9 8 0 3 7 9 11 9 6 1 0 0 0 7 1 3 8 10 9 1

Q: Identify whether each of the following is a polynomial function. Justify your answers. a) h(x) 2- Vi…

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: