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Factorization Worksheet

Factorization Worksheet
  • 1. Which of the following is the  factors of a^2 – b^2?
    1. (a –b ) * (a – b)
    2. (a + b ) * (a + b)
    3. (a - b ) * (a + b)
    4. None of these
  • 2. Which of the following is the solution for ( a + b )^2?
    1. a^2 + b^2 + a * b
    2. a^2 + b^2 – a * b
    3. a^2 + b^2 + 2 a* b
    4. a^2 + b^2  - 2 a * b
  • 3. Which of the following is the solution for ( a - b )^2?
    1. a^2 + b^2 + a * b
    2. a^2 + b^2 – a * b
    3. a^2 + b^2 + 2 a* b
    4. a^2 + b^2  - 2 a * b
  • 4. If we Factorize x^2 -16, then the factors will be:
    1. (x – 4) * (x + 4)
    2. (x + 4) * (x + 4)
    3. (x – 4) * (x - 4)
    4. None of these
  • 5. If we factorize x^2 + 6x + 9, then the result will be:
    1. (x + 3) * (x – 3)
    2. (x + 3)^2
    3. (x + 9) ^2
    4. None of these
  • 6. The polynomial with the three terms is called a :
    1. Binomial
    2. Trinomial
    3. Quadratic equation
    4. None of these is correct
  • 7. The identity ( x + y )^3 can be written as :
    1. X^3 + 3 *x^2 * y + 3* y ^2 * x + y ^3
    2. X^3 + 3 *x^2 * y + 3* y ^2 * x - y ^3
    3. X^3 - 3 *x^2 * y  - 3* y ^2 * x + y ^3
    4. None of these is the correct answer
  • 8. By the definition of factorization we mean :
    1. Writing the formulas
    2. Writing the polynomial in the form of the identities
    3. Breaking of the expression into the lowest form
    4. None of these is correct
  • 9. If we will factorize the term x ^4 – 16, the factors for the expression will be:
    1. (x^2 + 4) * (x - 2) * (x – 2)
    2. (x^2 + 4) * (x + 2) * (x + 2)
    3. (x^2 +  4) * (x + 2) * (x – 2)
    4. None of these is the correct solution
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