CBSE2026Class Class 10 · Mathematics1 Marks · Mcq✅ Verified
Observe the graph of polynomial $p(x)$ which cuts the $x$-axis at $(-2,0)$ and $(2.5,0)$ and meets the $y$-axis at $(0,4)$. The zeroes of the polynomial are
A. $-2,\ 0,\ 2.5$
B. $-2,\ 2.5$
C. $0,\ 4$
D. $-2,\ 0$
✅ Answer & Solution
✅ Correct Answer: B
Step 1: The zeroes of a polynomial are the $x$-coordinates of the points where the graph intersects (cuts) the $x$-axis.
Step 2: From the graph, the curve cuts the $x$-axis at $(-2,0)$ and $(2.5,0)$ only.
Step 3: The point $(0,4)$ is on the $y$-axis, so $4$ is the value of $p(0)$, not a zero.
Step 4: Hence the zeroes are $x=-2$ and $x=2.5$.
Answer: (B)
