determine all possible forms when an integer n is divided by 7, use the quotient remainder orem. Both "equals" and "mod" should be used when writing the forms.

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Q: Use the Factor Theorem to solve for k, if P(x) = 2x³ - x² -15x+k and x+2 is a factor of P(x)

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Q: 5. Produce a formal proof of the sequence shown below. P→ (QAR), (PAR) → (S~S) ~P

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A: As you didn't mention the question number. So I solved the first question.

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Q: 。 3 o Z -2x₁ + 3x3 = 13 X2 — 3x4 = 0 2x1 + 3x2 - 2x3 = 0 -3x3 + 2x4 = -15

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Q: 7. Let the propositional constants "P", “Q”, and “R” serve as atomic sentences in the formal…

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