Mathematics · Polynomials
While simplifying algebraic expressions like (x+2)(x-3)(x), many students incorrectly conclude the degree as 1 or 2 because they overlook multiplication. The teacher uses these misconceptions by displaying incorrect student responses anonymously and encourages peers to analyze the mistakes. This helps students reach the correct reasoning that multiplication affects the highest power of the variable. Assertion (A): The degree of a polynomial is determined by the largest exponent of the variable. Reason (R): A polynomial must not include variables in denominators or with negative powers.
- 1A is false but R is true
- 2A is true but R is false
- 3Both A and R are true but R does not explain A✓
- 4Both A and R are true and R explains A
Correct answer
Both A and R are true but R does not explain A
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