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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27.
Factoring Polynomial Expressions
27.1
Common factors of polynomials
27.2
Factoring polynomials by grouping
27.3
Solving polynomials with the unknown "b" from x2+bx+cx^2 + bx + c
27.4
Solving polynomials with the unknown "c" from x2+bx+cx^2 + bx + c
27.5
Factoring polynomials: x2+bx+cx^2 + bx + c
27.6
Applications of polynomials: x2+bx+cx^2 + bx + c
27.7
Solving polynomials with the unknown "b" from ax2+bx+cax^2 + bx + c
27.8
Factoring polynomials: ax2+bx+cax^2 + bx + c
27.9
Factoring 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
27.10
Find the difference of squares: (a−b)(a+b)=(a2−b2)(a - b)(a + b) = (a^2 - b^2)
27.11
Evaluating polynomials
27.12
Using algebra tiles to solve polynomials
27.13
Solving polynomial equations
27.14
Word problems of polynomials
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