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Polynomials — Maths STD 9 — Question

Gujarat BoardEnglish MediumSTD 9MathsPolynomials1 Mark
MCQ
(x + 1) is a factor of the polynomial.
  • A
    x3 + x2 - x + 1
  • B
    x3 + x2 + x + 1
  • C
    x4 + 3x3 + 3x2 + x + 1
  • D
    x4 + x3​ - x2 + 1
✓

Answer

  1. x3 + x2 + x + 1
    Solution:
    x3 + x2 + x + 1 = x3 (x + 1) + 1(x + 3) = x3 + 27 9x2 + 27x = x3 + 9x2 + 27x + 27
    therefore, the coefficient of x, in the expansion of (x + 3)3 is 27.

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