Polynomials

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Polynomials is a simple topic which involves a lot of basic ideas. Make sure that you a get of hold of them by solving these questions!!
  1. Polynomials - Possible pairs of Solutions

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

    1. 6
    2. 12
    3. 24
    4. 48
    • Correct AnswerChoice (C): 24 Correct answer
    • Explanatory Answer
    • Possible pairs of Solutions
    • Hard
  2. Polynomial Remainder Theorem

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

    1. (2, )
    2. (1, 2) (2, )
    3. (-, 1) (2, )
    4. (-, 1)
    • Correct AnswerChoice (B): Correct answer
    • Explanatory Answer
    • Polynomial Remainder Theorem
    • Hard
  3. 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.

    1. 2.5
    2. -5.5
    3. 3.5
    4. 6.5
    • Correct AnswerChoice (B): Correct answer
    • Explanatory Answer
    • Polynomial Remainder Theorem
    • Easy
  4. Sum of squares of nos.

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

    1. 9455
    2. 5456
    3. 3468
    4. 4892
  5. Polynomial Remainder Theorem

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

    1. -41
    2. -31
    3. -18
    4. 41
    • Correct AnswerChoice (A): -41 Correct answer
    • Explanatory Answer
    • Polynomial Remainder Theorem
    • Medium

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