Theory of Intelligence
9TH•Mathematics•Factorization•4.1 Common Factors and Trinomial Factoring

Students' Learning Outcomes

Identify common factors and factorize quadratic expressions concretely, pictorially and symbolically.

Students' Learning Outcomes

At the end of the unit, the students will be able to:

  • Identify common factors, trinomial factoring, concretely, pictorially and symbolically.
  • Factorize quadratic and cubic algebraic expressions:
    • a4+a2b2+b4a^4 + a^2b^2 + b^4 or a4+b4a^4 + b^4
    • ax2+bx+cax^2 + bx + c
    • (x+a)(x+b)(x+c)(x+d)+k(x + a)(x + b)(x + c)(x + d) + k
    • (ax2+bx+c)(ax2+bx+d)+k(ax^2 + bx + c)(ax^2 + bx + d) + k
    • a3+3a2b+3ab2+b3a^3 + 3a^2b + 3ab^2 + b^3
    • a3−3a2b+3ab2−b3a^3 - 3a^2b + 3ab^2 - b^3
    • a3±b3a^3 \pm b^3
  • Find highest common factor and least common multiple of algebraic expressions and know relationship of LCM and HCF.
  • Find square root of algebraic expression by factorization and division.
  • Apply the concepts of factorization of quadratic and cubic algebraic expression to real-world problems (such as engineering, physics, and finance.)

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