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e Use the rational zero theorem to list all the possible rational zeros for f(x) = x^{4} + 8x^{3}  x^{2}  7. e

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e When f(x) = 9x^{2} + bx + c is divided by the factors x + 5, x  5, the remainders obtained are 218 and 238 respectively. Then find the value of b. e

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e Which of the following would be the remainder when f(x) = 5x^{2} + 8x + 31 is divided by x + 2 ? e

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e Choose the remainder when x^{60}  4 is divisible by x + 1. e

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e Use the rational zero theorem to list all the possible rational zeros for f(x) = x^{4} + 8x^{3}  x^{2}  6. e

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e When f(x) = 5x^{2} + bx + c is divided by the factors x + 4, x  4, the remainders obtained are 73 and 97 respectively. Then find the value of b. e

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e Find the remainder obtained when f (x) = x²  2x + 3 is divided by g (x) = x  1. e

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e Which of the following statements is true for the polynomial f (x) = (x^{2}  1) (x  2) + 6? e

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e If the remainders obtained on dividing f(x) = ax^{2} + 2x + c by x  2, x  1 are 1 and 3, then find the value of a. e

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e Find the quotient when f (x) = 4x^{3}  8x^{2} + 2x  1 is divided by g (x) = 2x + 1. e

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e Which of the following represents the given expression x4  3x³ + 6x²  3x + 5x²  1 in the form of d(x) + f(x)g(x)? e

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e Which of the following would be the remainder when f(x) = 2x^{2} + 10x + 24 is divided by x + 3 ? e

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e Which of the following would be the remainder when f (x) = x^{3}  7x^{2} + 14x  8 is divisible by x  2 ? e

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e What is the quotient obtained when x^{3}  8x^{2} + 11x + 20 is divided by (x  5)? e

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e Which of the following represents the given expression x43x³+2x²4x+6x²+2x1 in the form of d(x) + f(x)g(x) ? e

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e Find the quotient obtained when x^{3}  8x^{2} + 11x + 20 is divided by x + 1. e

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e Which of the following would be the rational zeros of the given polynomial f (x) = 6x^{3}  5x  1? e

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e Find the potential rational zeros of f (x) = x^{3} + 2x^{2}  x  2. e

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e The remainders obtained, when f(x) = x^{2} + bx + c are divided by x  1, x  2 are 3 and 4 respectively. Find the value of c. e

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e Which of the following is the lower bound for the real zeros of the function f (x) = 3x^{3}  4x^{2} + x + 3? e

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e Which of the following polynomial functions has the leading coefficient 2, degree 3, with  2, 1 and 4 as real zeros? e

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e Which of the following polynomial functions has leading coefficient 3, degree 3 and  1, 3 and 5 as real zeros? e

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e Select the polynomial function with leading coefficient 4, degree 4, and zeros  3,  1, 0 and 52. e

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e Which of the following would be the upper bound for the real zeros of the function f(x) = 2x^{4}  7x³  8x² + 14x + 8? e

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e Which of the following is correct when a polynomial function f (x) has a factor x + 5? e

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e What is the remainder when x^{36} + x^{34}  15 is divisible by x  1? e

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e Choose the potential zeros of the polynomial function f (x) = x^{3} + 2x^{2}  29x  30. e

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