20. Find the rational roots of x +5x+7x-3x-10 0. O-2, 1 O2, 1 O-2, -1 O2, -1 21. Find all the zeroes of the equation. 3x-4 =-x O1, 2i О-1,-21 O1,-1, 2i, -2i, 0 O1.-1, 2i, -2i

Q: 1) The formula for the deficit in the pension fund of a large company is given by y (in millions of…

A:

Q: Look at the graph of f(x). 4-3 -2 -1 State the number and type of sulutions to f(x)=0 O2 complex…

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Q: 5) Find the general solution by using reduction of order method to (x² + 1)y" – 2xy' + 2y = 0 given…

A:

Q: 4-The equation x^2+2x-3=O has only one root in the open interval O a. (-2,0). O b. (-1,1). O c.…

A: Thus is a quadratic equation we can find the roots of the equation by solving them

Q: What are the correct factors for 64x^3−27\ A) (4x−3)(16x^2−12x+9) b) (4x+3)(16x^2−12x+9) c)…

A: Given: 64x3-27

Q: 1. Solve example 2 of the rational equation by following the given steps. Example 1 1. +. 25 Example…

A: Find the LCD of the given rational functions.

Q: Answer the following questions about the equation below. 12x3 +53x-34x + 5 = 0 (a) List all rational…

A: We are given an equation as

Q: 3. Sum of coefficients of terms which contains integral powers of x in the expansion (2+ /x )30 is-…

A: We have to find sum of coefficient of terms which contains integral power of x:

Q: Solve the rational equation. 6) 6 + 5 = 13 7) 12 24 x-1 X+5 8) 3. x+4 X+12 x²+5x+4 %3D x+1 2.

A: To solve the equations

Q: 1) The formula for the deficit in the pension fund of a large company is given by y (in millions of…

A:

Q: Find the coefficient of X^35 in the generating function (x^4+x^5+x^6+x^7+x^8)^5 (Show work and…

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Q: Answer the following questions about the equation below. 12x3 -67x2 + 36x - 5=0 (a) List all…

A: To find the zeros of the function

Q: 0=1+xx + ₂X4₁

A:

Q: (b)If x is so small that its fourth and higher powers may be neglected show that (1 + x) + V(1- x) =…

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Q: 1. Prove by Mathematical Induction that 4+8+12+ ...+ (4n) = 2n(n+1) is true for all positive…

A: “Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: X^4 -3x^3 -x^2 -9x -12=0  Find all rational

A:

Q: (25. The roots of g(x)= 0 are iwo times the reciprocals of the roots of x"-- 7x + 3 = 0. g{x)= A. 3x…

A: Let α and β are the roots of the equation  ax2 + bx +c = 0 then,   Sum of roots =(α + β) = -b/a…

Q: Answer the following questions about the equation below. 12x3 +53x2 - 34x + 5 = 0 (a) List all…

A: The given equation is 12x3+53x2-34x+5=0. Note that Factors of the constant term 5 are ±1,  ±5.…

Q: 22. Which of the following rational algebraic equations is transformable to a quadratic equation? A…

A: Quadratic equation is of the form      ax2 + bx + c = 0, where  a≠ 0.

Q: Solve the rational equation. 8 $+3 and select all that apply right solutions. 0 3 5/4 4/5 1 4 58+5 0…

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Q: nswer on 1. Find all the roots of 2x* + x – 8x2 – 4x = 0 | x = -2, x = -0.5, x= 0, x = 2 Bx= -2, x =…

A: Given query is to find the roots of the expression.

Q: 9. Transform the rational equation +-! into a quadratic equation. C. 2x+5x-10-0 D. 2x-5x-10-0 A.…

A: 9 .Given rational euqation x5+12=1x2x+510=1x2x2+5x=102x2+5x-10=0option C correct

Q: a) Factor  f(x)=x^3-4x^2−16x-64  into factors of the form (x-c), given that 4 is a zero. (b) Solve…

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Q: Given h(x)= 2x* – 5x³ – 15x? +31x+15: %3D a.) List all possible rational roots (zeros) of h(x). 5…

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Q: Find the roots of x^2 + (k^2+1/k) x + 1 = 0

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Q: Show that 2x2-K =-(2k-1)00 has rationgl roots for all rational Values of 2. Determine -the vaiue (5)…

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Q: Match a rational expression in column A with one shown in Column B: Column A Label Column B Label…

A: A. 2x+1x+2-x+3x+3=2x+1x+2-1=2x+1-x-2x+2=x-1x+2

Q: P(x) = x² + 5x + 8: Find all possible rational zeros of اختراحد الخيارات 0,土1,土8 O ±1, +2, +4, ±8 O…

A: Given that the polynomial is Px=x2+5x+8. The rational root theorem states that for the polynomial of…

Q: 5. What are the real and complex solutions of the polynomial equation 3-8=0 O1+i3, and 1 –i 02, -1…

A: we know that the expansion of       a3-b3=(a-b) (a2+ab+b2) now put the value in it and get

Q: 2. Simplifying complex rationals 1 1 2xy 3 a) 4 4 3 b) гу? T

A: The solution is :

Q: Use the intermediate value theorem to show that there is a root of the given equation in the…

A: f(x) = ex− 8 + 7x = 0

Q: 3. Find the real roots of the following rational equations. [K8] [C2] -7x 9x +11-12=1 1. a. X-1 3x+8…

A: Find the real roots of  a. -7x9x+11 -12 =1x   b. x-1x+2 = 3x+5x-1

Q: 24. Find the first approximate solutions for -2x? + 4x + 2 = 0. 1 - and x = 3- 3 3 x = and x = 3- 3…

A: -2x2+4x +2 = 0Dividing Both the Sides by -2x2-2x-1 = 0Since the coefficient of x2 is 1Move the…

Q: 40. Let f (x)= 8r + ax³ + bx² – 41x+c, where a, b and c are constants. The remainder when f (x) is…

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Q: What are all the possible rational roots of 2r'+3x-10r +4=0? +1, + 2, +4 only +1, ± 2, t 4, only ±늑…

A:

Q: 11. If æª +4a12³ +6aza² +4a3x +a4 = 0 is an equation with real coefficients and has two real and two…

A: The roots are concyclic or the roots are at the same distance from the origin, and the given…

Q: 8a2+9+1 Simplify the following rational expression: 2+3z+2 2-2 (8z + 1)(z + 1)² (x – 2)2 (8x + 1)…

A: To simplify

Q: (a) Suppose that I let you choose any real numbers a and b with a < b. What is the largest possible…

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Q: 5. Show that the equation (2y – 6æ) dx + (3x – 4x²y=') dy = 0 is not exact. Show that the polynomial…

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Q: Match each rational number in the first column with an equal rational number in the second column.…

A: we will solve it one by one in the next step.

Q: What are the rational roots of P(x) = x³ + 2x – 1? %3D Ох-1,х-2 O This polynomial has no rational…

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Q: 3r + 10r-8 3r +r-2 is/are The non-permissible value(s) for the rational expression A. r+-1 2 В.…

A: 1. To find non permissible vale equate denominator to zero equate denominator to zero Hence Non…

Q: What are the possible rational roots of the equation x + 6x2 11x + 6 = 0 A. -6, -3, -2, -1 C.+6, +3,…

A: Rational roots of polynomial  Let us consider a polynomial of the form…

Q: S. Give the reason for each step of this solution to this tinear equation. Each is a property of the…

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Q: If x = -1 is a root of the polynomial 0 = æ³ + 2x2 – 5z – 6. what are the other roots? Ox =-3, x = 2…

A: see next step

Q: Suppose * = f(). (a) Given y(xo) = Yo, when does this equation have a unique solution? = z(x, y) to…

A: Given- Suppose dydx = fymx To find-  Given yx0 = y0, when does this equation have a unique…

Q: If three resistors with resistances R1, R2, and R3 are connected in parallel, their combined…

A: On simplification,

Q: A cubic polynomial, given by f(2) =+2: - 5z - 6, has two of its factors as r+1 and z+3.

A: In this question we have to deal with a polynomial that have to factorize. In this polynomial we…