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MCQ practice · SSC Higher Mathematics Board questions · Chapter 2: Algebraic Expression

Rajshahi Board 2023

What is the sum of the constant term and the leading coefficient of the expression 2x⁵ − 4x³ + 14x⁷ + x − 5?

Think it through first, then pick an option.

  1. a − 3
  2. b 2
  3. c 9
  4. d 19
Answer and explanation

Correct answer: c 9

The constant term is −5 and the leading coefficient is 14 (from 14x⁷); the sum is 9.

Why the other options are wrong

  • a − 3: −3 comes from taking 2 − 5 (the coefficient of x⁵ and the constant term); the leading coefficient is 14, not 2.
  • b 2: 2 is the coefficient of x⁵; the highest power is x⁷.
  • d 19: 19 comes from taking 14 + 5; the constant term is −5, so 14 − 5 = 9.