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Find the quotient when p(x) = 3x^4 + 5x^3 – 7x^2 + 2x + 2 is divided by (x^2 + 3x + 1).

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Find the quotient when p(x) = 3x4 + 5x3 – 7x2 + 2x + 2 is divided by (x2 + 3x + 1).

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Best answer

Given: 

p(x) = 3x4 + 5x3 – 7x2 + 2x + 2 

Dividing p(x) by (x2 + 3x + 1), 

we have:

∴The quotient is 3x2 – 4x + 2

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