CAT | Polynomials

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Q #1
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#### CAT Polynomials - Possible pairs of solution

How many pairs of integer (a, b) are possible such that a2 � b2 = 288?

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Q #2
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#### CAT Polynomials - Polynomial Remainder Theorem

Solve the inequality x3 � 5x2 + 8x � 4 > 0.

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Q #3
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#### CAT Polynomials - Remainder Theorem

x4 � ax3 + bx2 � cx + 8 = 0 divided by x � 1 leaves a remainder of 4, divided by x + 1 leaves remainder 3, find b

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Q #4
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#### CAT Polynomials - Sum of squares of nos.

What is the sum of 12 + 32 + 52 ��.312?

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Q #5
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#### CAT Polynomials - Polynomial Remainder Theorem

What is the remainder when x4 + 5x3 � 3x2 + 4x + 3 is divided by x + 2?

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