Use Lagrange Interpolation to find an interpolating polynomial of the form ax4+bx3+cx2+dx+eax4+bx3+cx2+dx+e where a,b,c,da,b,c,d and ee are all integers that passes through all the following points. x −3 −2 −1 0 1 2 3 f(x) 240 0 −48 −24 0 0 0

Q: Express as a polynomial.

A: To express 13a2+4b13a2-4b as a polynomial. Solution: We have identity a+ba-b=a2-b2. Using the above…

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

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Q: For the polynomial below, 2 is a zero. h(x)=x'+4x+ 6x- 36 Express h (x) as a product of linear…

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Q: Describe the end behavior of each polynomial. (a) y = x3 - 4x² + 2x – 18 %3D End behavior: as x → oo…

A: a.

Q: The Lagrange's interpolating polynomial for the below data is -2 -1 f(x) 2x + 9x+ 11 4 11 None of…

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Q: The zeros of the polynomial P(x) = x* + 3x2 - 4 are %3D (a) 2i,-2i, i and - i (b) 2,-2, i and – i…

A: To find the zeroes

Q: Describe each polynomial. „(a)..x...6x. 36 of degree binomial (b) –15s“t + s³3 monomial v of degree…

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Q: According to Descartes' Rule of Signs, how many negative zeroS could the polynomial æ4 – 3x³ – 2x² +…

A: According to Descartes's rule of signs, maximum number of positive real root of a polynomial…

Q: True or False: The degree of the following polynomial is 7: &x+&g. O True O False

A: Degree of polynomial with two variable It is the maximum degree of the degrees of the terms with…

Q: For Exercise, find the constants A and B so that the two polynomials are equal. 3x2 + 37x − 82 = Ax2…

A: We rewrite the right side in the form of the left side.

Q: Determine whether the polynomial 8+ 6x – 3x² belongs to Span{2+x – a², 1- 1, 4r²} or not.

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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: 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: Evaluate this polynomial when x= 2: f (x) 8x + 5x- 3x² – 2° O 76 O645 O-147 O75

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Q: What set of x and y creates the Pythagorean triple 12,35,and 37? Use the polynomial identity…

A: We need to use the polynomial identity: (x2+y2)2 = (x2-y2)2 + (2xy)2 to find values of x and y which…

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: 16. Show that (x + 1) is a factor of p(x) = x³ + 2x² + 3x +2

A: We have to show that x+1 is a factor of p(x)=x2+2x2+3x+2 .

Q: Check whether or not x³ + 2x + 1 € F5[x] is a primitive polynomial.

A: Primitive polynomial

Q: (A) x² +6x+k (B) x²-x+k (C) x² +19x+k

A: answer is in step2

Q: 2x513,?-4x+9-2x°-Sx+6+3x5=8 S182-9r.30-8x4 -と G ite each polynomial in descending order aeeerding to…

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Q: 4. For the polynomial P(x) = 2x3 +9x4 +1-5x, state: i. the degree of the polynomial is _a ii. the…

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Q: (4) Find a polynomial that has 1+i and 1- i as zeros.

A: We have to find polynomial

Q: 10. Determine whether the following polynomials span P2. P, =1+x, P, =1-x, P, = 1+x+x, P, = 2-x

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Q: Assume that the polynomial 7? + bx +c = 0 in which b, cE Z, has two integer solutions. Which one of…

A: We have to equation as - x2 + bx + c = 0.......(1) The above equation (1) is a quadratic equation…

Q: Find the interpolating polynomial of degree at most 2 that passes through the points (-2, 14), (1,…

A: Using Lagrange interpolating polynomial.

Q: Identify the like terms in the given polynomial. 3x³ + 7y+ 6x³+y+9y² 3x³ and 6x³, 7y and 9y² 3x³ and…

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Q: a) f(x) = 2x4 - 3x² + 2

A: According to bartleby guidelines we supposed to do the first one of multiple questions kindly repost…

Q: Which of the following expressions are polynomials?

A: 1) a) Given: The expression 2x3-12x+3 An expression a1xn+a2xn-1+a3xn-2+...........+an is said to…

Q: 2b. Please

A: To Determine: The polynomial, whose degree is 2 and roots are:…