Solving quadratic equations by factoring

Solving quadratic equations by factoring

Review the chapter on "Factoring" to refresh your memory if you don't quite remember how to factor polynomials. It will definitely help you solve the questions in this lesson!
Basic Concepts: Factoring polynomials: ax2+bx+cax^2 + bx + c, 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, Find the difference of squares: (a−b)(a+b)=(a2−b2)(a - b)(a + b) = (a^2 - b^2), Solving polynomial equations
Related Concepts: System of linear-quadratic equations, System of quadratic-quadratic equations, Graphing quadratic inequalities in two variables

Lessons

Difference of Squares: a2−b2=(a+b)(a−b)a^2-b^2=(a+b)(a-b)
  • Introduction
    a)
    Solve by factoring a trinomial: 2x2−12x+10=02x^2-12x+10=0

    b)
    Solve by factoring a difference of squares: 25x2−49=025x^2-49=0

  • 1.
    Solve by Factoring a Trinomial
    Solve each equation by factoring.
    a)
    3x2+x−10=03x^2+x-10=0

    b)
    7x2+35=−42x7x^2+35=-42x

  • 2.
    Solve by Factoring a Difference of Squares
    Solve each equation by factoring.
    a)
    x2−36=0 x^2-36=0

    b)
    36x2−25=0 36x^2-25=0

    c)
    12x3−75x=0 12x^3-75x=0

    d)
    40−10x2=0 40-10x^2=0

Do better in math today
Get Started Now
16.
Solving Quadratic Equations
16.1
Solving quadratic equations by factoring
16.2
Solving quadratic equations by completing the square
16.3
Solving quadratic equations using the quadratic formula
16.4
Nature of roots of quadratic equations: The discriminant
16.5
Applications of quadratic equations
CLEP College Algebra
Don't just watch, practice makes perfect