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Fundamental operations on polynomials

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Answer the following questions involving

a. Find P(-1/2) if P(x) = x4 + 3x2 + 2

b. Simplify (x2 + y2 + 4z2 + 2xy + 4yz + 4zx) + (x2 + 4y2 + 4z2 - 4xy - 8yz + 4zx)

c. Simplify (3x + 2y)^2

d. Find the product (x + 9) (x - 4)

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Step by step solutions to all the problems are provided for fundamental operations on polynomials.

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a.

P(-1/2) = (-1/2)^4 + 3(-1/2)^2 + 2 = 1/16 + 3/4 + 2 = (1 + 12 + ...

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