Factoring polynomials by grouping

Factoring polynomials by grouping

There are a number of ways to factor polynomials, and one of them is by grouping. When using this grouping method, we will need to look for any common factors and then rewrite them as grouped factors.
Basic Concepts: Equivalent expressions of polynomials, Prime factorization, Common factors of polynomials
Related Concepts: Factor by taking out the greatest common factor, Factor by grouping, Factoring difference of squares: x2−y2x^2 - y^2, Factoring trinomials

Lessons

  • 1.
    Factoring by grouping
    a)
    x2−5x−xy+5y{x^2-5x-xy+5y}

    b)
    3y3+x2y−3x−xy4{3y^3+x^2y-3x-xy^4}

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12.
Factorising Polynomial expressions
12.1
Common factors of polynomials
12.2
Factorising polynomials by grouping
12.3
Solving polynomials with the unknown "b" from x2+bx+cx^2 + bx + c
12.4
Solving polynomials with the unknown "c" from x2+bx+cx^2 + bx + c
12.5
Factorising polynomials: x2+bx+cx^2 + bx + c
12.6
Applications of polynomials: x2+bx+cx^2 + bx + c
12.7
Solving polynomials with the unknown "b" from ax2+bx+cax^2 + bx + c
12.8
Factorising polynomials: ax2+bx+cax^2 + bx + c
12.9
Factorising perfect square trinomials: (a+b)2=a2+2ab+b2(a + b)^2 = a^2 + 2ab + b^2 or (a−b)2=a2−2ab+b2(a - b)^2 = a^2 - 2ab + b^2
12.10
Find the difference of squares: (a−b)(a+b)=(a2−b2)(a - b)(a + b) = (a^2 - b^2)
12.11
Evaluating polynomials
12.12
Using algebra tiles to factorise polynomials
12.13
Solving polynomial equations
12.14
Word problems of polynomials
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