7 + 3x will be a factor of 3x3 + 7x only if 7 + 3x divides 3x3 + 7x leaving no remainder. Let p(x) = 3x3 + 7x 7 + 3x = 0 3x = - 7
x =
Remainder =
7 + 3x is not a factor of 3x3 + 7x
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84.The polynomial p(x) = kx3 + 9x2 + 4x - 8 when divided by x + 3 leaves a remainder - 20. Find the value of k.
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85.The polynomial p(x) = x4 - 2x3 + 3x2 - ax + 3a - 7. When divided by (x + 1) leaves the remainder 19. Find the value of a. Also find the remainder, when p(x) is divided by x + 2.
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86.The polynomials ax3 - 3x2 + 4 and 2x3 - 5x + a when divided by (x - 2) leave the remainders p and q respectively. If p - 2q = 4, find the value of a.
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87.The polynomials ax3 + 3x2 - 3 and 2x3 - 5x + a when divided by x - 4 leaves the remainders p and q respectively. Find the value of a, if 2p = q.
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88.Divide p(x) by g(x) using long division method, where p(x) = x + 3x2 - 1 and g(x) = 1 + x.
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89.Using long division method divide the polynomial 3x4 - 4x3 - 3x - 1 by x - 1.
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90.Using long division method, find the remainder obtained on dividing p(x) = x2 + 1 by x + 1.
Short Answer Type
3x = - 7
x = 
Remainder = 
7 + 3x is not a factor of 3x3 + 7x
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