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Polynomials
CBSE 2026 Board Exam Set 3 (Code 30/1/3)
CBSE_BOARD_PYQ_2026_30_1_3
Grade 10
Question:
[Section A]
The number of zeroes of a polynomial $p(x)$ whose graph does not intersect or touch the $x$-axis is:
(a) 0
(b) 1
(c) 2
(d) 3
The number of zeroes of a polynomial $p(x)$ whose graph does not intersect or touch the $x$-axis is:
(a) 0
(b) 1
(c) 2
(d) 3
Step-by-Step Solution
Key Concept: The number of real zeroes of $p(x)$ equals the number of intersection points of its graph with the $x$-axis.
Since the graph does not intersect or touch the $x$-axis, the polynomial has $0$ real zeroes. [1.0 Mark]
Correct Answer: (a) 0
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