Question

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Divide the polynomial p(x) by the polynomial g(x) and find the quotient and remainder in
each of the following :
(i) p(x) = x³ – 3x² + 5x – 3, g(x) = x² – 2

(ii) p(x) = x⁴ – 3x² + 4x + 5, g(x) = x² + 1 – x

(iii) p(x) = x⁴ – 5x + 6, g(x) = 2 – x²​
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Answer 1

Answer:

i- q=x-3,r=7x-9

ii-q=x^2+x+3,r=8

iii-q=-x^2-2,r=-5x+10

Answer 2

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Divide the polynomial p(x) by the polynomial g(x) and find the quotient and remainder in each of the following :

(i) p(x) = x³ – 3x² + 5x – 3, g(x) = x² – 2

(ii) p(x) = x⁴ – 3x² + 4x + 5, g(x) = x² + 1 – x

(iii) p(x) = x⁴ – 5x + 6, g(x) = 2 – x²

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• q = -3,r = 7x - 9
• q = -3,r = 7x - 9q = x^2+x+3,r = 8
• q = -3,r = 7x - 9q = x^2+x+3,r = 8q = -x^2-2,r = -5x + 10

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