CBSE
2026
Class Class 10 · Mathematics
1 Marks · Mcq
✅ Verified
How many zeroes does $p(x) = (x-2)(x+3)$ have ?
A. Zero
B. One
C. Two
D. Three
✅ Answer & Solution
✅ Correct Answer: C
**Step 1 — Set $p(x) = 0$.**
$$(x-2)(x+3) = 0$$
**Step 2 — Use the zero-product rule.**
$$x - 2 = 0 \ \Rightarrow\ x = 2 \qquad \text{or} \qquad x + 3 = 0 \ \Rightarrow\ x = -3$$
**Step 3 — Count the zeroes.**
The zeroes are $2$ and $-3$, i.e. **two** zeroes.
(Consistent with the rule: a quadratic polynomial has at most 2 zeroes.)
**Answer : (C) Two**
✅ Verified by Super Admin