====== Unit 05: Factorization: Online View ======
On this page, online view of the notes of unit 05 are given. After studying this unit , the students will be able to:
  - Recall factorization of expressions of the following types.
   - $ka + kb + kc$
   - $ac + ad + bc + bd$
   - $a^2 + 2ab + b^2$
   - $a^2 – b^2$
   - $a^2 + 2ab + b^2 – c^2$
  - Factorize the expressions of the following types.
   - Type I:$a^4 + a^2b^2 + b^4$ or $a^4 + 4b^4$
   - Type II:$x^2 + px + q$
   - Type III:$ax^2 + bx + c$
   - Type IV:$(ax^2 + bx + c) (ax2 + bx + d) + k$\\ $(x + a) (x + b) (x + c) (x + d) + k$\\ $(x + a) (x + b) (x + c) (x + d) + kx^2$
   - Type V:$a^3 + 3a^2b + 3ab^2 + b^3$\\ $a^3 − 3a^2b + 3ab^2 − b^3$
   - Type VI:
$a^3 + b^3$
  - State and prove remainder theorem and explain through examples.
  - Find Remainder (without dividing) when a polynomial is divided by a linear polynomial.
  - Define zeros of a polynomial.
  - State and prove Factor theorem.
  - Use Factor theorem to factorize a cubic polynomial.

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  * **Solutions of Unit 05** | VIEW [[:matric:9th_science:unit_05:viewer?f=unit05-matric-science-adil-aslam-ptb|Click to view if not visible]]