a. Factor the polynomial over the set of real numbers. b. Factor the polynomial over the set of complex numbers. 107. f(x) x* + 2x + x + 8x – 12 108. f(x) x* - 6x + 9x бх + 8 = 109. f(x) x* + 2x - 35 110. f(x) = x* + 8x? - 33 111. Find all fourth roots of 1, by solving the equation x = 1. (Hint: Find the zeros of the polynomial f(x) = x* – 1.) 112. Find all sixth roots of 1, by solving the equation x° by factoring x - 1 as (x 113. Use the rational zero theorem to show that V5 is an irrational number. (Hint: Show that f(x) = x – 5 has no rational zeros.) = 1. [Hint: Find the zeros of the polynomial f(x) = x° 1. Begin - 1)(x' + 1).] 114. a. Given a linear equation ax + b = 0 (a ± 0), the solution is given by x = b. Given a quadratic equation ax + bx + c = 0 (a + 0), the solutions are given by x =

Q: d. By experiment, guess or derivation, find real numbers r and s so that An+2 + ran+1+ san = 0,…

A: Given, an+2+ran+1+san=0 as x2+rx+s=0r=-6 and s=10∴x2-6x+10=0To find relation between 3 + i and…

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: Express as a polynomial.

A: Here given as 4z4-3z2+1-zz3+4z2-4

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Q: 9. Graph Identify end behavior, x and y intercept , optional point and graph F(x) = x ( x-1) ( x + 3…

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Q: FInd the complex zeros of the polynomial function Write f in factored form f(x)=x^4+x^3+7x^2+9x-18

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Q: 19. y* – 7y' – 18y = 0 21. m* – 625 = 0

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Q: 5.1 8.) 9. L all polynomial لك solutions of t equation: 3x³ + 2x² - 11x-6=0 Use long division and…

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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)

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Q: Solve the polynomials 3y-{[-4(x-y)+(2x - y)]-3x -[(5y-3(x-2y)]-2(-6x + y)}

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A: Given two polynomial equation