Attention Math

Class 10 · Chapter 2 · Algebra

Polynomials

Degree, zeroes, and how a polynomial's coefficients remember its zeroes.

Source: NCERT Mathematics, Class 10

  1. 2.1Degree: the Highest PowerAttention · Look at the highest power of x, wherever it is written.6 min
  2. 2.2Zeroes: Where the Graph Meets the x-axisAttention · Look at where the graph meets the x-axis.8 min
  3. 2.3Sum and Product of ZeroesAttention · Look at the minus sign in the sum of zeroes.10 min
  4. 2.4Building a Quadratic from Its ZeroesAttention · Look at the x-term: it carries the sum with a minus.8 min

Problems

The clue is in the question

All 2 problems
  1. 1Reciprocal rootsIf α and β are the roots of ax² + bx + c = 0, then an equation whose roots are 1/α and 1/β is:Lens · The easy instanceJEE-style practice
  2. 2A root with a square rootLet p and q be real numbers. If 2 − √3 is a root of the equation x² + px + q = 0, then:Lens · The known factJEE Main 2019