By Lauren
x2+bx+c
x2+bx+c
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Than Factoring Trinomials is the math for you !!
Factoring is used to show trinomials in the simplified
Form of two binomials being multiplied together.
X2
+ ax + c
Trinomial
ce
d
b
Factoring
(x+d)(x+e)
Two Binomials
Factoring trinomials is important to algebra
Because it is used in finding roots (find the
x-intercept) of parabolas,and possible solutions
For ‘x’ (used in geometry for finding the
dimensions of a rectangle).
Steps:
Trinomial:
X2
X2
+ ax + c
Factor:
(d)(e)=c
c
d e
b
+ 4x - 45
c
-45
b
4
, (d+c)=b
-45
-5
4
9
(-5)(9)=-45 , (-5 +9)=4
Check work !
x -5
X x² 5x
9 9x -45
(x+d)(x+e) , (x-5)(x+9)
= x² + 4x -45
Correct !
First, take
the c, or –45
and the b, 4
and plug them
In to the diamond
Method.
2nd, find two
numbers that
when multiplied
equal c, and when
added equal b.
3rd take the b and
e (-5,9) and plug
It in to two
binomials
Rugby (a stupid sport), is played on a Rectangular field in
many different countries all over the world. If you want to find the
Area of the field, you would multiply the length x+75 by the width
x. The area is x(x+75) .
The factored form of
x(x+75) is x²+75x
RUGBY FIELD:
x
x+75