Back to Maths on Exam Trends
Polynomials
Medium trendapprox. 5 marksSections A/B/C — a 1-mark graph/zero-count MCQ plus a 2–3 mark zeroes-and-coefficients numerical.
CBSE 2027 — dates, rules and official papers →Ask the tutor1For ax² + bx + c, identify a, b and c with their signs before substituting into −b/a and c/a — a single sign slip loses the relationship mark.
Notesformulae · proofs · mind-map — one view
Learn the 4 conceptsteach yourself first, then practise each
Geometrical meaning of zeroes (graph cuts the x-axis)1–2 marks Visual
Read the number of zeroes straight off a graph in a 1-mark MCQ.
Relationship between zeroes and coefficients (α+β = −b/a, αβ = c/a)2–3 marks Visual
Get sum and product of zeroes without solving the quadratic.
Finding zeroes by factorisation and verifying the relationship2–3 marks Visual
Split the middle term to get α, β, then confirm against the coefficients.
Forming a quadratic from its zeroes: k[x² − (α+β)x + αβ]1–3 marks
Build a quadratic when the two zeroes (or their sum and product) are given.
When you’re ready — practise or test the whole topic