Multiply Two Polynomials
Algebra Help: Section 2.15
1. Multiply 2a
+
3b
by
a
+ b
.
Multiplicand 2a + 3b Multiplier a + b _______ Product from a: 2a2 + 3ab Product from b: 2ab + 3b2 ________________ Entire product: 2a2 + 5ab + 3b2
ANALYSIS -
The entire multiplicand must be multiplied a
+ b
times.
-
In the first line write the product of
2a
+3b
timesa
. -
In the second line write the product of
2a
+3b
timesb
. -
Align similar terms in vertical columns.
For example
2ab
appears directly under3ab
. - Add or subtract similar terms to calculate the final product.
RULE - Multiply all the terms of the multiplicand by each term of the multiplier, and add the partial products.
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By Horation N Robinison, LL. D. Ivison, Blakeman & Company, Publishers, New York and Chicago.