CBSE
2026
Class Class 10 · Mathematics
1 Marks · Mcq
✅ Verified
A polynomial $p(x)$, which has sum of its zeroes equal to their product, is :
A. $3x^2 + 2x + 2$
B. $3x^2 - 2x - 3$
C. $3x^2 - 2x + 2$
D. $x^2 - 3x + 2$
✅ Answer & Solution
✅ Correct Answer: C
Step 1: For $ax^2 + bx + c$ : Sum of zeroes $= \dfrac{-b}{a}$, Product of zeroes $= \dfrac{c}{a}$.
Step 2: We need $\dfrac{-b}{a} = \dfrac{c}{a}$, i.e. $-b = c$.
Step 3: Check option (C) $3x^2 - 2x + 2$ : here $b = -2$, $c = 2$, so $-b = 2 = c$. \checkmark
Step 4: Sum $= \dfrac{2}{3}$ and Product $= \dfrac{2}{3}$, which are equal.
Correct option : (C)
✅ Verified by Super Admin