Resolve a Trinomial
Algebra Help: Section 2.27
Learn to resolve a trinomial into two equal binomial factors.
A trinomial may be resolved into two binomial factors when two of its terms are perfect squares and positive, and the other term is twice the product of their square roots, and either positive or negative.
1. Factor a2 + 2ac + c2
ANALYSIS -
a2 is the square of a.
Also c2 is the square of c.
Also 2ac equals twice the product of a
and c.
Since a2 + 2ac + c2 is
the sum of the squares of a
and c plus twice their product, it must be the
square of (a + c) or (a + c)(a + c).
Rule
RULE - Connect the square roots of the two squares by the sign of the other term, and write the result twice as a factor.
Page 69-70
Page 69-70
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.
