A polynomial f (x) and two of its zeros are given. Solve the equation f(x) = 0. 3 10) f(x) = 2x5 + 19x4+75x³ +90x² - 162x - 324; -3 -3i and - are zeros 2 A) 1) (-2, + -3±3i 3 01/-2-3, 2. 13-3) C) -2, -3, +33i 3 3) (-2, -3, 2, -3 ± 31 05[3.22-33 D) -3, -3 ±3il 10)

Q: Find 2) (x) using long division for f(x) = x? + 8x + 16 g(x) = x + 3 The quotient is The remainder…

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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: The quadratic form Q(x) = 3x,² + 7x22 + 4x3? is (a) Positive definite (b) Indefinite (c) Negative…

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Q: h(x)=2x^4+5x^3+29x^2+80x-48  Zero:-4i The remaining zeros of h are

A: h(x) = 2x4 + 5x3 + 29x2 + 80x - 48 We know, if a complex number is a zero of a polynomial, then its…

Q: Use Descartes’ Rule to determine the possible number of positive and negative solutions. Make a…

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Q: consider the function f(x) with an unknown zero of 5+2i  f(x)=25x^4-230x^3+529x^2+540x+116 How…

A: Given:f(x)=25x4-230x3+529x2+540x+116 with unknown zero 5+2i

Q: Use Descartes's Rule of Signs to determine the possible number of positive and negative real zeros…

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Q: Solve the polynomial 5x* - 16 + 3x2 + 20x - 4 = 0, given that 2 is a root of multiplicity 2.

A: Given polynomial is : 5x4-16x3+3x2+20x-4 = 0 The root x=2 has multiplicity 2.

Q: Find the coefficient of x11 in (x2 - 3x) / (1 - x )4

A: Solution:

Q: Find all the zeros of P . P(x)= x^3 + 3x^2 -4

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Q: Use Descartes' Rule of Signs to determine the possible number of positive real zeros and the…

A: To use Descartes's rule of signs to determine the possible number of positive real zeros and the…

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: f(x) = x + 5x3 - 7x2-29x + 30 %3D

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Q: use the complex zeros to factor f(x)=x4+122x2+121

A: f(x)=x4+122x2+121we know -1=i