Factoring polynomials: ax2+bx+cax^2 + bx + c

Factoring polynomials: ax2+bx+cax^2 + bx + c

Before starting this lesson, check your understanding on how to factor x2+bx+c{x^2 + bx + c}
we talked about in the other lesson first. The variable, a, in front of x2{x^2}
can make it a bit more challenging, but we will show you the tricks to make it easy!

Lessons

  • 1.
    Overview of factoring polynomials with a coefficient in front of x2x^2

  • 2.
    Factor the following:
    a)
    9x2+3x2{9x^2+3x-2}

    b)
    21x241x+10{21x^2-41x+10}

    c)
    8x2+x9{8x^2+x-9}

    d)
    15x216x15{15x^2-16x-15}


  • 3.
    Factor with common factoring first
    a)
    36x296xy64y2{-36x^2-96xy-64y^2}

    b)
    3a2(b+1)22a(b+1)2+5(b+1)2{-3a^2(b+1)^2-2a(b+1)^2+5(b+1)^2}


  • 4.
    Factor with unusual exponents
    a)
    6x8a+17x4ay4b10y8b{-6x^{8a}+17x^{4a}y^{4b}-10y^{8b}}