Multiply Polynomial with Mononomial
Algebra Help: Section 2.14
Use algebra to multiply a polynomial with a mononomial.
1. Multiply 4b +
5a2 - bc
by 3a.
OPERATION:
4b + 5a2 - bc 3a _____________________________ 12ab + 15a3 - 3abc
ANALYSIS -
Multiply the entire multiplicand by 3a, one term at a time.
Multiply each term of the multiplicand by 3a
separately. Place each term in the appropriate column.
3a times 4b equals 12ab.
3a times 5a2 equals 15a3.
3a times bc equals 3abc.
Note 3a implies an exponent of one.
Therefore 3a times 5a2
is the same as 15a*a*a, and a*a*a
equals a3
RULE - Multiply each term of the polynomial by the multiplier (mononomial), and write the products connected by their proper signs.
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Help with Algebra Homework
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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.
