Exercies: 1) Express the polynomial x + 2x? - 5x + 2 in a series of Laguerre polynomials.

Q: ind the quotient and remainder using long division: x² -x+5 3x2 –7x uotient: emainder:

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Q: 1.2a-Dividing Polynomials Ha aial answer in standard form. 2x + 11x + 5 x+S

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Q: 9. Divide 2x3+4x2-3x+7 and express the answer in quotient-remainder form. x-1 Format Font Size BIUS…

A: Let us consider two polynomials f(x),p(x). If q(x) is quotient and r(x) is remainder while dividing…

Q: 2. Is the expression 4x³ 3.6x² - V2 a polynomial? If so, what is its degree? (pp. A22-A24) -

A: (2) Here the given expression  4x³-3.6x²-√x = 0 Here the given expression is polynomial Degree of a…

Q: 7. Use the remainder theorem to find the remainder when g10 + g8 is divided by x -1 without…

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Q: a. Rewrite the polynomial 2x² + x in standard form. ° +-7x + 1 b., What is the leading coefficient?…

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Q: Divide x - x4 + 3x3 + 2x2 and remainder r(x). Verify that the quotient times x – x2 + 1 plus the…

A: Polynomial long division and synthetic division are used to divide two polynomials.  The degree of a…

Q: A goat is tied to a corner of a 5m x 7m shed with an 8m rope, find the ground area that the goat can…

A: There is no relationship between area that a goat can gaze and area of shed.

Q: True or False The polynomial x2 + 4 is prime.

A: Anwer:False.

Q: Find a polynomial of degree 5 with integer coefficients and has zeros ½, –i, and 1−i, and leading…

A: We need to find a polynomial of degree 5 with integer coefficients and has zeros ½, –i, and 1−i, and…

Q: 6. Multiply the polynomial p(x) = x – x? +x – 1 by the polynomial q(x) = x +1. You must show your…

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Q: (a) Construct a table containing the values of the fourth- degree polynomials f(x) = 2x", g(x) = 2r…

A: Given: The functions, f(x) = 2x4g(x) = 2x4-5x2+1h(x) = 2x4+5x2-1k(x) = 2x4-x3+2xx = ±20, ±40, ±60

Q: 2. Use long division to divide P(x) 3x'+ 7x - 2x- 11 by the binomial (x-2). Express your answer in…

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Q: What does it mean to have a remainder of 0? This pertains to Division with Polynomials.

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Q: If-2 is one root of x² +kx− 6 = 0, find the other root and the value

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Q: f(x) = - 3x* +x +9x² – 3x-2 Round to the nearest hundredth. If there is more than one answer,…

A: F(x) is polynomial of degree 4 We find zeros of this 4 degree polynomial

Q: Suppose that a polynomial equation has the following six roots: -9, -6, 1 + i/2,1 – i/2, 6, and 9.…

A: Here, the required polynomial has six roots: -9,9,-6,6,1+i2, 1-i2

Q: 19. Express the polynomial z? - z + 22? in standard form and then classify it. quartic binomial…

A: Given polynomial  z2- z4+2z2

Q: Find a polynomial with real coefficients, degree 3, and zeros 3 − 2? and −2. Give both the factored…

A: Given, degree=3 zeros are 3,-2, and -2.

Q: 3. What is the number of coefficients of a polynomial of degree n in two variables? In three…

A: Given: A polynomial of degree n.

Q: A _____ expression is a ratio of two polynomials

A: We have to fill in the blanks: A _____ expression is a ratio of two polynomials. We know that if two…

Q: 3 ey started with this polynomial: 2x+x She added another polynomial. The sum was: -2x +x - 2x What…

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Q: 28. Give the formula, in factored form, of the polynomial p(x) whose graph is shown below (2,0) Нх…

A: Given graph of P(x),From the graph, we can say that it is a cubic polynomial.

Q: Find the sum of the polynomials -3x +7x-8 and 5x-7x+2. Subtract -x +5x-3 from 6x2-3x-7. Express the…

A: We can find the answers as below

Q: Multiply the polynomials using the FOIL method. Express your answer as a single polynomial in…

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Q: Find the remainder when x^2021 is divided by x-1 in Z_7 [x]

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Q: Multiply the polynomials using the special product formulas. Express your answer as a single…

A: The given expression is, 2x-32 To find the simplified form of the given expression, we use the…

Q: : Sketch Polynomials 1) у%3- (х+9)(х — 2)"(х + 5)? 2) у %3 (х+5)(х- 4)"

A: See the attachment

Q: 3+36X+14=13 Determine the number the ru Of real solbH fon

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Q: Divide the first polynomial by the second polynomial using the long division method. Show your…

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: Multiply the polynomials using the FOIL method. Express your answer as a single polynomial in…

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Q: Prove the polynomial identity for the cube of a binomial representing a difference: (x-y)3=x³-3x?y +…

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Q: Dividing the polynomial P (x) by x - 4 yields a quotient Q (x) and a remainder of 2. If Q (-4)=-6,…

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Q: s to subtract the polynomial given: (-2x - 8x+5)- (3x + 5x - 6). Give th orrectly. Change the…

A: We are asked to find the sequence of the steps.

Q: (d) Are there monic FSP polynomials (of some degree) that have real number coefficients, but some of…

A: Solution of part (d): Suppose there is a monic FSP polynomials of degree k that have real number…

Q: Express the polynomial in descending order. If the polynomial is already in descending order, so…

A: Arrange the given polynomial in descending order

Q: Which polynomial expression of fourth degree has the roots x=-3,x%=3,x%= 5i ? A x +16x-225 B…

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Q: Multiply the polynomials (x-1)(x* + x+x² + x + 1) using a table. Generalize the pattern that emerges…

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Q: how many polynomials are in this equation x^5-2x+x^9-9x^6

A: This is single polynomial of degree 9

Q: Use complex analysis to prove the formula 2n n 7 7n V 3 n=0

A: It is given that

Q: 2. What is the largest exponent in a quartic polynomial ? * 3 4

A: A polynomial is in the form a0+a1x+a2x2+........+anxn. and degree of the polynomial is n.

Q: -215|20 128 108 9-2

A: The given terms are in the form of polynomial as Use synthetic division to find the remainder So,…

Q: (a) Divide r – xª + 3x3 + 2x2 and remainder r(x). Verify that the quotient times x – x? + 1 plus the…

A: Introduction: A polynomial is a very important real-valued function. The degree of a polynomial is…

Q: Find a polynomial of degree 5 with integer coefficients and has zeros, 1/2, -i, and 1-i, and leading…

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Q: find the degree of the polynomial 7n3

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Q: Second-degree, with zeros of −3 and 7, and goes to −∞ as x→−∞

A: Given data is : Zerois is -3 and 7 To find the second degree equation.

Q: The number of tickets sold each day for an upcoming performance of Handel's Messiah is given by N(x)…

A: We use second derivative test to find out number of days where tickets sell at peak

Q: subtract the polynomials using the horizontal format. -4a - 5 from 6a + 2

A: The given polynomials are: ( -4a - 5) and (6a + 2) We have to subtract the polynomial ( -4a - 5)…