Detemine multiplying a polynomial by a monomial, Mathematics

Assignment Help:

Detemine Multiplying a Polynomial by a Monomial?

To multiply a polynomial by a monomial, use the distributive property.

Let's start by talking about ordinary numbers. Say that you want add two numbers (a and b) together, and multiply the sum by a third number (c). by c. With ordinary numbers, you would most likely add a and b first, then multiply the sum
The expression would look like this: c (a + b).

However, you can get the same result in another way, by multiplying c times a, then c times b, and adding the products:
(cxa)+ (cxb) = c(a+b)

The distributive property allows us to perform this operation on monomials and polynomials, as well as on ordinary numbers.
Let's see how it works:

Example 1: Evaluate 2(x + 4).

2(x + 4)
= 2(x) + 2(4)
=2x + 8

Example 2: Evaluate 3(y - 5).

3(y - 5)
= 3(y) - 3(5)
=3y - 15

Example 3: Evaluate 3x(y2 + 2x - 5).

3x(y2 + 2x - 5)
= 3x(y2) + 3x(2x) -3x(5)
= 3xy2 + 6x2 - 15x


Related Discussions:- Detemine multiplying a polynomial by a monomial

Properties of triangle, in a rhomus ABCD the circum radii of triangles ABD ...

in a rhomus ABCD the circum radii of triangles ABD and ACD are 12.5 cm and 25cm respetively then find the area of rhombus.

Statistic, Suppose that the probability of your favorite baseball player ge...

Suppose that the probability of your favorite baseball player getting a hit at bat is 0.45. Assume that each at bat is independent. What is the probability that he bats eight times

On income and return from shares, a company declares a semu annual dividend...

a company declares a semu annual dividend on 5%.a man has 400 shares of the company.if his annual income from the share is rs 1000 find the face value of each share?

Word problem, adison earned $25 mowing her neighbor''s lawn. then she loane...

adison earned $25 mowing her neighbor''s lawn. then she loaned her friend $18, and got $50 from her grandmother for her birthday. she now has $86. how much money did adison have to

Chapter problem temperature around the globe.., predict whether there is a ...

predict whether there is a relationship between the mean January temperatures of a city in North America and the city''s position west of the prime meridian.

Series - convergence or divergence, Series - Convergence/Divergence In ...

Series - Convergence/Divergence In the earlier section we spent some time getting familiar with series and we briefly explained convergence and divergence.  Previous to worryin

Complex numbers, express the complex number z=5+i divide 2+3i in the form ...

express the complex number z=5+i divide 2+3i in the form a+ib

Ryan gym membership costs him how much is every installment, Ryan's gym mem...

Ryan's gym membership costs him $390 per year. He pays this within twelve equal installments a year. How much is every installment? To ?nd out each installment, the total yearl

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd