For the polynomial below, -3 is a zero. g (x)=x' + x?. 3 3Dx 10x 12 - Express g (x) as a product of linear factors. g (x) = 0

Q: The function given by f(x) = -3x + V2x + -x (is/is not) a polynomial function.

A: A polynomial is a function such as quadratic, cubic and so on which involve only non-negative…

Q: find the zeros of the polynomials f(u) = 4u2+8u, and verify the relationship between the zeros and…

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Q: For the cubic polynomial function f(x) = ax³ + bx? + cx + d, find a, b, c, and d so that 0 is a…

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Q: if xo = 2, x1 = 3 and x2 = 4 the second degree polynomial for f(x) = using Lagrange Interpolation is

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Q: For what values of the constants A and B is the polynomial function Ax 2. 2 4 f(x, у) %3D Ах + Bxy +…

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Q: Find the zeros of the polynomial f(u) = 4u + 8u, and verify the relationship between the zeros and…

A: f(u) = 4u2 + 8u To Find the zeros of the polynomial f(u) and To verify the relationship between the…

Q: For the polynomial below,-1 is a zero. g(x) =x - Sx - 2x + 4 Express g (x) as a product of linear…

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Q: The cubic polynomial shown below has zeroes only at x= -3 and x = 5 and passes through the point (2,…

A: To find y value

Q: Q3) Find the Lagrange polynomial that fits the followin value of y at x-0: Ans. y-6.03888 -2 3. 5.…

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Q: Find the nth Maclaurin polynomial for the function. 4x - 1 f(x) = n = 4 P4(x) =

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Q: 9. For the polynomial f(x) = x(3x + 1)(x – 2)², determine the leading coefficient, leading term,…

A: Given: fx=x3x+1x-22 Now solve the parenthesis we get, ⇒fx=3x4-11x3+8x2+4x                    ...(1)…

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…

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

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Q: Allow T2(x) be the 2nd degree Tylor polynomial for the following function: f(x)=2+x*e^(5x) which is…

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Q: Consider the Lagrange polynomial that passes through the 3 data points given by -1 3 |f(x) | -3 9 17…

A: the given table is ;       X      f(x) -1 -3 2 9 3 17 the value of the table for x and y…

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…

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Q: In  the given question as follows , approximate the function at the given value of x, using the…

A: Given function is: fx=e4x We have to find f14.

Q: Find Ao, A1, and A2 in rewriting the function of f(x)={* x20 in terms of Lagure polynomial, 00 S(x)…

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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: Find the cubic polynomial which takes the following values : x: 1 3. f (x): 1 1 10 Hence or…

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Q: 2) x- 7メ r Sx3 +93 ×2 イ2x-72=0 R) x5-2x4 -15x°t 10×*+イX-18=0

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

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Q: For the polynomial below, -1 is a zero of multiplicity two. 4 f(x)=x"+4x+10x+12x+5 Express f (x) as…

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Q: Q3: Factorize f (x) = 2x* + x³ + 2x + 4 € Z5[x] as a polynomials product to irreducible over Z5?

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Q: Find the quadratic polynomial g(x) = ax2 + bx + c which best fits the function f(x) = 2x at x = 0,…

A: To find the quadratic polynomial gx=ax2+bx+c which best fits the function fx=2x at x=0, in the sense…

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: For the polynomial below, -2 is a zero. f(x) = x + 8x + 14x + 4 Express f(x) as a product of linear…

A: To find the linear factors of the given polynomial

Q: For the polynomial below, 2 is a zero. f(x) =x-4x + x + 6 Express f (x) as a product of linear…

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Q: Find the nth Maclaurin polynomial for the function f(x) = e4x , n = 4

A: We have to find nth Maclaurin polynomial for the function: fx=e4x when n=4 We know nth Maclaurin…

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: Suppose p(x) is a cubic polynomial that shares two of its roots with f (x)=2x² – 5x+3, has the same…

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

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Q: For the polynomial below, -1 is a zero. g (x)'= x³ - 5x + 6 Express g (x) as a product of linear…

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Q: For the polynomial below, 3 is a zero. 3 s(x)=x° + x² - 15x + 9 Express f (x) as a product of linear…

A: Given function is fx=x3+x2−15x+9 and given 3 is the zeros of the given polynomial. We have to…

Q: 2. For the given polynomial function f (x) = x3 + 5x2 + 2x – 8, A) Find all possible rational zeros…

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Q: For the polynomial below, 1 is a zero. h(x) =x- 7x + 10x- 4 x=(x)4 Express h (x) as a product of…

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Q: #7: For what value of k will the polynomial function f(x)=x'+6x² +kx=4 have the same remainder when…

A: The Polynomial Remainder theorem states that if x-b divides the polynomial, Qx, then the remainder…

Q: f(x) = -(x + 2)(4x + 1)(x – 3)

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Q: Find a polynomial f (x) of degree 3 that has the following zeros. 0, -2, 1 Leave your answer in…

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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: For the polynomial below, 2 iš a zero. h (x) =x + 2x - 11x + 6 Express h (x) as a product of linear…

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Q: 1. Determine the question of the polynomial function that has zeros at x =- 5 (order 2), x=-1 andx 4…

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

Q: For the polynomial below, -1 is a zero. 3 f(x)=x' - 7x - 6 Express f (x) as a product of linear…

A: We will find out the required value.

Q: For the polynomial below, –1 is a zero. f(x) =x - 3x - 3x + 1 Express f (x) as a product of linear…

A: Given: A polynomial fx=x3-3x2-3x+1 of which -1 is a zero. Now as its given that -1 is a zero,…

Q: Which of the following polynomial functions has the roots 3, -1, 1, 4?   a. P(x)= x4 - x3 + 13x2 -…

A: The general form of a polynomial equation of degree n is given by a0xn+a1x1....+an-1x+an=0. The root…

Q: If y=1 when x=0,y'=1,y"=2 and y=-2, using Taylor's Polynomial what is the best fit polynomila for…

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Q: 9. For the polynomial function f(x)= x³ - bx² + cx-24 where b,cel, all of the following are…

A: The given function is a cubic polynomial: f(x)=x3-bx2+cx-24     , here b,c∈I If p is a zero of that…

Q: Find the linear approximating polynomial for the function f(x) = V2x + 49 , a = 0 1 O A. LX) = x+7…

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Q: Q1. How many bends are there in the roller coaster? Q2. In the given domain, how many times does…

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Roots

The main dissimilarity between real and complex roots is that the real roots are obtained as real numbers, in contrast with the complex roots, which are indicated as imaginary numbers. The standard format for depicting any complex number is in the form of a + bi.