1. Home
  2. >Grade 10 Math
  3. >Factoring Polynomial Expressions
Help

Factoring polynomials: x^2 + bx + c

All in One Place

Everything you need for better grades in university, high school and elementary.

Learn with Ease

Made in Canada with help for all provincial curriculums, so you can study in confidence.

Instant and Unlimited Help

Get the best tips, walkthroughs, and practice questions.

0/2
?
Intros
Lessons

  2. What is the cross-multiplying method of factoring? (a.k.a the Decomposition method)

    • - How does it work?
    • - How to use it?
  3. How to Factor Polynomials?
0/12
?
Examples
Lessons
  1. Factor the following
    1. x2+7x+10{x^2 +7x +10}
    2. x2−4x+4{x^2-4x+4}
    3. x2+7x−30{x^2+7x-30}
    4. x2−4x−21 {x^2-4x-21}
  2. Factor with common factoring first
    1. 4x2+20x+24{4x^2+20x+24}
    2. −4x2−28x+120{-4x^2 - 28x + 120}
    3. x2−12xy+36y2 {x^2-12xy+36y^2}
    4. −x3y2−3x2y3+4xy4{-x^3y^2-3x^2y^3+4xy^4}
    5. 14x3−x2−8x{1\over4}{x^3-x^2-8x}
  3. Factor with unusual exponents
    1. x6n−3x3n+2{x^{6n}-3x^{3n}+2}
    2. x2n−7xnxm+10x2m{x^{2n}-7x^nx^m+10x^{2m}}
    3. (x−2y)2−8a(x−2y)+15a2{(x-2y)^2-8a(x-2y)+15a^2}
Topic Notes
?
This form of polynomials can be often factorized into a product of two binomials. Sometimes, we need to find the common factor of the polynomial before factorizing. We will learn it all in this lesson.
Basic Concepts
?
Related Concepts
?