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Examples
What to Do
How to Do It
1. Look again at the product of two binomials,
and see how we use the method called the double distributive property.
→ (A + B)(C + D)
= A(C + D) + B(C + D)
= AC + AD + BC + BD
2. Generally, product of two linear binomials
is multiplied by the method called F O Ι L.
to obtain a quadratic (2nd degree) trinomial:
F = the product of the first terms:
O = the product of the outer terms:
Ι = the product of the inner terms
L = the product of the last terms
Algebraically add the O + Ι = adx + bcx = Bx.
(ax + b)(cx + d)
→ Ax2 + Bx + C
Ax2 = ax·cx = acx2
C = b·d = bd
acx2 + (ad +bc)x + bd
.
= Ax2 + Bx + C
3. For
general linear (first degree) binomials
with common terms:
The double distributive property is used
vertically - the outer and inner are placed
directly below and then added algebraically
along with the product of the firsts and lasts.
