This is a free lesson from our course in Algebra I
In this lesson, you'll learn the approach to simplifying a 2^{nd} 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 ax^{2} + 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 x^{2} 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...)
(Continued from above) E.g. 6x^{2} + 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
6x^{2} + 7x – 3 = (2x+3)(3x1)
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
mathtutor for our students.

All of the Winpossible math tutorials have been designed by topnotch 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 problemsolving techniques. Each course has our instructors providing
stepbystep solutions to a wide variety of problems, completely demystifying the
problemsolving 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 inclass
instruction. They also use our course structure to develop course worksheets.