Q1
The zeroes of a polynomial are where its graph:
Aintersects the x-axis
Bintersects the y-axis
Creaches its highest point
Dcrosses the origin only
CBSEClass 10 (CBSE)MathematicsCh 2 · Topic 1
Geometrical Meaning of Zeroes
Learning how the zeroes of a polynomial relate to its graph.
Core concept
For a quadratic polynomial (degree 2), the graph is a parabola that can intersect the x-axis at two points (two distinct real zeroes), touch it at exactly one point (one repeated zero, where the parabola's vertex lies exactly on the x-axis), or not touch it at all (no real zeroes, though complex zeroes may exist). This visual, graphical connection between algebra (zeroes) and geometry (graph intersections) is a powerful tool for understanding polynomial behaviour without needing to solve equations algebraically every time.
Exam highlight
Key diagram
Keywords worth remembering
Trending
geometrical meaning of zeroescbse class 10
Most searched
CBSE class 10 geometrical meaning of zeroes
Quick revision
Study resources
Notes & downloads
Quick notes
• Zeroes of a polynomial are the x-coordinates where its graph crosses the x-axis.
• A linear polynomial's graph (a line) has exactly one zero.
• A quadratic polynomial's graph (a parabola) can have 0, 1, or 2 real zeroes.
• This graphical view connects algebra (finding zeroes) to geometry (graph intersections).