08. z, and 22 are the roots of the equation 422 + (1-1)2 + (3+2)=0. Without finding z, and z₂, find: (i) (iv) ZZ (ii) (v) 2122 (21-22)² (!!!) (vi) + (1)²+(2)²

Q: If y = C1 + C2x +e2*(C3cosx + C4sinx), then the roots are

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Q: 16) Given the function f(x)=2x –1lx² +22x–15, find all the complex roots, given that 2-i is a root.…

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Q: 3. Find the roots of ( x2-1) ( x2 + 3x – 2)=0

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Q: A quadratic polynomial y = 4x² + 7x – 3 has roots p and q. Find a quadratic g(x) = x + ax + Bwith…

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Q: 4. The polynomial equation whose roots are {-1, - ½ and 3} is А. 2х3- Зx2 - 8х-3%3D0 В. х3 - 6х2 - х…

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Q: 4. If x=-4 and x=1 are the roots of x* + 3x' - 3x +3x – 4 = 0, find the other two roots of the…

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Q: D 20. Marco wants to show that x³-y - (x-y)x² +xy +y is true for all values of x and y. Marco makes…

A: The given identity is  x3-y3= (x-y)(x2+xy+y2)

Q: 5 Calculate the roots of the following polynomial equations: (a) x³ – 6x² + 11x – 6 = 0 given x = 1…

A: Topic = Polynomials

Q: XII. Given two polynomials: A(x) = 12x3 - 4x2 - 3x +1 B(x) = (3x – 1)(5x – 2) – (9x² – 6x + 1) 1)…

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Q: 2) Find Possible Positive, Negative or Imaginary Zeros. f(x) = -2x° + x² - 8x + 3 %3D Count the…

A: Introduction: In algebra, Descartes' rule of signs is a rule for estimating the maximum number of…

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A: We have to give the form of particular solution using method of undetermined coefficient without…

Q: '-7r + 19r- 13 and write it as the product of three 2. (3.4) Factor the polynomial P(r)-r linear…

A: Substitute x=1 in the given equation Then P(x)=0 So (x-1) is a factor of P(x)

Q: = 3x=6, g(x)=x-12, and h(x)=-2x-5 find each of the follow"

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Q: 1ess of q(x) = xỉ + 2V6x,x2 + 2x?

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Q: Select all the expressions that are equivalent to (3z + 2) (1 – 4) for all real values of x. A; 3z²…

A: We have to select the expressions that are equivalent to given function. This problem can be done…

Q: 24. Which quadratic equation has -2 and 1 as its roots? O O O O CLEAR ALL x²+x+2=0 x²-x-2=0 x²+x-2=0…

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Q: If the sum of the roots of the equation 1/(x + a) + 1/(x + b) 1/c is zero, then prove that the…

A: Given that if the sum of the roots of the equation                   1x+a+1x+b=1c, is zero. To prove…

Q: Given that x = 2 is one root of g(x) = 2x* + 4x – 9x² – 11x – 6 = 0, use factorisation to determine…

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Q: Factor each expression completely. (с) х — Зх3 — 4х + 12 (1) x'y – 4xy (а) 4х? -25 (b) 2х2 + 5х — 12…

A: "Since you have asked a question with multiple subparts, we will solve the first three subparts for…

Q: a) [5] Evaluate (2 - 3)² + 6 × (4 + 1) + 3² . B1: b) [5] Determine the polynomial with the…

A: Explanation of the answer is as follows

Q: The solutions of a polynomial equation are shown below. x=3+4i x=5

A: Given Roots x=3+4i,5Since 3+4i is root⇒3-4i will also be a root

Q: A quadratic polynomial y = 4x² + 7x − 3 has roots p and q. A new quadratic with roots r = is given…

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Q: 2 of,x²-x-1=0 a" - fn a-B a, ß are roots (a>ß) and, t = n (n≤N), if, b₁=1, b = = t n n-1 (n ≥2) find…

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