CBSE2026Class Class 10 · Mathematics1 Marks · Long✅ Verified
Assertion (A): The polynomial $p(y) = y^2+4y+3$ has two zeroes. Reason (R): A quadratic polynomial can have at most two zeroes. Choose the correct option: (a) Both A and R are true and R is the correct explanation of A. (b) Both A and R are true, but R is not the correct explanation of A. (c) A is true, but R is false. (d) A is false, but R is true.
✅ Answer & Solution
$p(y) = y^2+4y+3 = (y+1)(y+3)$, so the zeroes are $y=-1$ and $y=-3$ — two zeroes, so A is true. A quadratic polynomial (degree 2) can have at most 2 zeroes, which is a general true fact and correctly explains why $p(y)$ has (at most/exactly) two zeroes. So R is true and is the correct explanation of A. Correct option: (a).
