Common factors of polynomials

Common factors of polynomials

You will need the similar skill set to find the common factors of polynomials as you do prime factorization. For polynomials, you need to also do the numbers as well as the variables.
Basic Concepts: Multiplying monomial by monomial, Multiplying monomial by binomial, Multiplying binomial by binomial, Multiplying polynomial by polynomial
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

  • Introduction
    a)
    • Review on Common Factors
    • How to find common factors of polynomials?

  • 1.
    Common factor of the polynomials
    a)
    16a4−8a3+4a2{16a^4-8a^3+4a^2}

    b)
    −15x2y−10xy2{-15x^2y-10xy^2}

    c)
    23x3+53x{2 \over3 }{x^3 + }{ 5 \over 3}x

    d)
    7a3(x−2)+3(x−2) {7a^3(x-2)+3(x-2)}

    e)
    (b−1)−2(1−b){(b-1)-2(1-b)}

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13.
Factoring
13.1
Common factors of polynomials
13.2
Factor by taking out the greatest common factor
13.3
Factoring polynomials: ax2+bx+cax^2 + bx + c
13.4
Find the difference of squares: (a−b)(a+b)=(a2−b2)(a - b)(a + b) = (a^2 - b^2)
13.5
Factoring difference of squares: x2−y2x^2 - y^2
13.6
Introduction to quadratic functions
CLEP College Math
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