## Thursday, September 4, 2008

### Polynomials Today in class we started with polynomials which is our first Unit of the course.

Mr. Kurapatwa thought as a little bit of Definition of Polynomials.

As we know that our first unit is polynomial, So we have to know the definition of polynomial!

1. Polynomials: is an algebraic expression of one or more terms
e.g. 2x+3y or x^2 - 5x+4

2. Monomial: is an algebraic expression of one term
e.g. 6x or 5ab or y

3. Binomial: is an algebraic expression of two terms
*We have to remember that any expression with two terms is a Binomial
e.g. x-y or x + 4

4. Trinomial: is an algebraic expression of three terms
e.g. 2x + 5y -4

*We also learn 5 other Definition*

1) Terms: is a symbol or group of symbols separated from other symbols bya plus or minus sign.
e.g. 3x - 5y + 7xyz in this expression we know that there are three terms, note that terms may contain several numbers and letters.

2) Coefficient: The numeric factor of a term (a number with a variable)
* for example 3x + 5y -4* the coefficient in this expression are 5 & 4

3) Sum: The result of Adding two or more number
e.g. The sum of 2 and 3 is? so we know that if we add 2 and 3 we get 5

4) Product: The result of Multiplying two or more numbers
e.g. the product of 7 and 3 is? so what we will do is to multiply 7 and 3, which will give us 49.

Time to Practice!!

a. 7x-y-2x+3y? (when we are adding or subtracting polynomials we combine the like terms which looks the same.)
7x-2x are like terms
3y-y are like terms
so now it's easy for as to solve it!

2. (4x-2y-4)-(-3x-2y+5) *i think this is little bit trickier*
What we will do hear is multiply the minus to each of the second expression on the right hand.
And now we remain with (4x-2y-4)+(3x+2y-5)
now the second expression is changed, what we will do is to take off the brackets and as i say we combine the like terms.
4x+3x-2y+2y-4-5
7x-9 ans

Multiplying and Dividing of Polynomials.

1. 2(x+y) we just multiplied 2 to everything in the brackets
2. Now what we have to is to divide
the coefficient and cancel the like terms
variable. Which Will give as 8x

For More Practice and Exercise: