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Polynomials — Maths STD 9 — Question

Gujarat BoardEnglish MediumSTD 9MathsPolynomials1 Mark
MCQ
The product (x2 - 1)(x4 + x2 + 1) is equal to:
  • A
    x8 - 1
  • B
    x8 + 1
  • C
    x6 - 1
  • D
    x6 + 1
✓

Answer

  1. x6 - 1
    Solution:
    Given expression is (x2 - 1)(x4 + x2 + 1)
    Let x2 = A and 1 = B
    Then, we have
    (A - B)(A2 + AB + B2)
    = A3 - B3
    = (X2)3 - (1)3
    = X6 - 1
    Hence, correct option is (c).

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