When x3-3 x2-5 x-3 is divided by x2-k- the remainder is 7 x-a- Then the value of k is

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Division Algorithm for a Polynomial

When x3-3 x2+...

Question

When x³ - 3x² + 5x - 3 is divided by x² - k , the remainder is 7x + a . Then the value of k is_____

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If $x^{3}$ + 5 $x^{2}$ + 10 k leaves remainder –2x when divided by $x^{2}$ + 2, then the value of k is

2 x^{3} + 3 x^{2} - 4 x + k

x + 2

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x^{3} - 3 x^{2} + 5 x - 3

x^{2} - 2

p (x) = k x^{3} + 3 x^{2} - 3

Q (x) = 2 x^{3} - 5 x + k

f (x) = x^{3} - 3 x^{2} + 5 x - 3

x^{2}

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