MCQ practice · SSC Higher Mathematics Board questions · Chapter 2: Algebraic Expression
What is the leading coefficient of the polynomial P(x) = x⁴(2 − 3x − mx²)?
Think it through first, then pick an option.
- a 2
- b − 3
- c m
- d − m
Answer and explanation
Correct answer: d − m
After expanding the highest power is x⁶ and its coefficient is −m.
Why the other options are wrong
- a 2: x⁴(2 − 3x − mx²) = 2x⁴ − 3x⁵ − mx⁶; 2 is the coefficient of x⁴.
- b − 3: −3 is the coefficient of x⁵; the highest power is x⁶.
- c m: Taking m with a plus sign loses the sign; the leading term is −mx⁶.
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