Find the zeroes of $p(x) = 4x^2 - 4x + 1$ and verify coefficient relationships.
Step-by-Step Solution
Key Concept: $(2x - 1)^2 = 0 \Rightarrow x = 1/2, 1/2$.
$(2x - 1)^2 = 0 \Rightarrow x = 1/2, 1/2$. Zeroes are $1/2, 1/2$. [1.0 Mark]
Sum $= 1/2 + 1/2 = 1 = -(-4)/4 = -b/a$.
Product $= (1/2)(1/2) = 1/4 = c/a$. Verified! [1.0 Mark]
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🎯 Official CBSE Marking Scheme:
Finding equal zeroes $1/2, 1/2$: 1.0 Mark
Verifying coefficient relationships: 1.0 Mark
Correct Answer: