Algebra I: Solve 2nd order polynomial by factoring
This is a free lesson from our course in Algebra I
In this lesson, you'll learn the approach to simplifying a 2nd order polynomial by factoring. You'll see here how to write a polynomial equation in a standard form, use the zero factor property and solve polynomial equation by factoring. On solving the quadratic equation, you'll get the value of x. For example, x(14x - 15) = 9 gives two possible value of x, -3/7 and 3/2. To Factorize ax2 + bx + c steps are as follows:
using the leading coefficient of a you write the pair of incomplete factors.
multiply a and c, the coefficients of x2 and the constant term.
find integers whose product is a c and the constant term.
discard any common factor within each parenthesis in Step 3. The result is the desired factorization. (More text below video...)
<h2> Solve 2nd order polynomial by factoring - Watch video (Algebra I)</h2> <p> factoring, video, polynomial, quadratic, value, equation, online math, standard form, solve, online algebra, polynomials of second order, practice questions, solutions</p> <p> Write a polynomial equation in a standard form, use the zero factor property and solve polynomial equation by factoring.</p>
Other useful lessons:
Solving with the quadratic formula
Solution and discriminant in the quadratic formula
Factoring by grouping
(Continued from above) E.g. 6x2 + 7x 3
the lead coefficient is 6, so you write
(6x )(6x )
a c = (6)(- 3) = -18
two integers whose product is 18 and whose sum is 7 are 9 and 2. Then you write (6x + 9)(6x 2)
reducing (6x + 9) to (2x + 3) and (6x 2) to (3x 1) you have 6x2 + 7x 3 = (2x+3)(3x-1)
Once you go through the instructor's explanation in the video above, you'll be comfortable in dealing with second order polynomials.
Winpossible's online math courses and tutorials have gained rapidly popularity since their launch in 2008. Over 100,000 students have benefited from Winpossible's courses... these courses in conjunction with free unlimited homework help serve as a very effective math-tutor for our students.
- All of the Winpossible math tutorials have been designed by top-notch instructors and offer a comprehensive and rigorous math review of that topic.
- We guarantee that any student who studies with Winpossible, will get a firm grasp of the associated problem-solving techniques. Each course has our instructors providing step-by-step solutions to a wide variety of problems, completely demystifying the problem-solving process!
- Winpossible courses have been used by students for help with homework and by homeschoolers.
- Several teachers use Winpossible courses at schools as a supplement for in-class instruction. They also use our course structure to develop course worksheets.
 Copyright © Winpossible, 2010 - 2011
Best viewed in 1024x768 & IE 5.0 or later version