Polynomials

Class 9 · Mathematics

79 questions30 easy26 medium23 hard

Sample Questions

Q1.Factorise 4y² – 4y + 1:

  • A(2y + 1)²
  • B(2y – 1)²
  • C(4y – 1)(y – 1)
  • D(2y – 1)(2y + 1)

Q2.Factorise 64m³ – 343n³:

  • A(4m – 7n)(16m² – 28mn + 49n²)
  • B(4m – 7n)(16m² + 28mn + 49n²)
  • C(4m + 7n)(16m² – 28mn + 49n²)
  • D(4m – 7n)(4m² + 7mn + 49n²)

Q3.Factorise x² – y²/100:

  • A(x + y/10)(x – y/10)
  • B(x + y/100)(x – y/100)
  • C(x + y/10)²
  • D(x – y/10)²

Q4.Factorise 27y³ + 125z³:

  • A(3y + 5z)(9y² + 15yz + 25z²)
  • B(3y + 5z)(9y² – 15yz + 25z²)
  • C(3y – 5z)(9y² + 15yz + 25z²)
  • D(3y + 5z)(3y² – 5yz + 25z²)

Q5.The general form of a linear polynomial in x is:

  • Aax² + bx + c, a ≠ 0
  • Bax + b, a ≠ 0
  • Cax³ + bx² + cx + d
  • Da, where a ≠ 0

Q6.This is a sample question to preview what you'll get in the full practice test...

  • A. Option one
  • B. Option two
  • C. Option three
  • D. Option four

Concepts Covered

Algebraic IdentitiesBinomialCubic PolynomialDegree of a PolynomialFactor TheoremFactorisation by Splitting Middle TermIdentity: (x+y)^2Identity: (x+y)^3Identity: (x+y+z)^2Identity: (x-y)^2Identity: (x-y)^3Identity: x^2-y^2Identity: x^3+y^3+z^3-3xyzLinear PolynomialMonomialPolynomials in One VariableQuadratic PolynomialRemainder TheoremTrinomialTypes of PolynomialsZeroes of a Polynomial

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