Two Factors
Algebra Help: Section 2.26
Case 2
Learn how to resolve a polynomial into two factors, a mononomial and a polynomial.
Polynomials may be factored by inspection under certain conditions. If the terms have a common factor, the quantity may be separated into two factors, a mononomial and a polynomial.
1. Resolve 2ax - 2am + 6ax into its factors.
ANALYSIS -
Since 2a is a factor common to all terms, we divide
by this factor, and obtain a quotient; x - m + 3x.
Quotient x - m + 3x is one factor in the given quantity.
Factor 2a is another factor in the given quantity.
Therefore:
2ax - 2am + 6ax = 2a (x - m + 3x)
Rule
RULE - Divide by the greatest factor common to all the terms, surround the quotient in parenthesis, and write the divisor as a coefficient.
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Help with Algebra Homework
Free tutorials provide math help for math problems. Tutorials start with algebra 1. Algebra tutorials include word problems related to algebra topics, as they're introduced. See the menu, above for algebra math equations, and explanation, by section.
Windows algebra games, designed to help with classwork, coming soon!
Windows games, in progress, work with this set of free tutorials, modified
from the public domain text book titled,
New Elementary Algebra
containing the rudiments of the science for schools and academies.
By Horation N Robinison, LL. D. Ivison, Blakeman & Company, Publishers, New York and Chicago.
