Reviewing Rational Exp & Eqns

Hello every one and Happy New Year!
I would like to say sorry for my late post. I will try my best to review what i have learned in class and what i knew about Ration Exp & Eqns.

Restrictions:
*We always have to know that restriction are found in the denominator of a rational exp & eqns.
*In some question we cannot find our restriction by not factoring it first.
*After finding the restriction of a question, our answer of that question will not be same or related to the restriction of that question (You may have to try again or the question is wrong).

Here are some examples:
This is what i would do first to find the restriction.
As i see this question one of the thing i would look at is that can i factor it first, my answer would be no.Then the second thing i would look is the denominator where we usually find our restrictions. I would take the denominator and make it as equal to zero.

x=0 Zero is the restriction
Click to practice

Additon/Subtraction of Rational Exp & Eqns:

1. Determine the LCD(Least common Denominator).
2. Rewrite each fraction as an equivalent fraction with the LCD.
3. Add or subtract the numerators while maintaining the LCD.
4. When possible, factor the remaining numerator and simplify the fraction.

The LCD is x(x+2)

I don't have time to explain subtraction of rational expression
but the difference is the Negative sign just be carefull with the sign.
Click to practice!

Next Scribe Post will be shawn !!!!!!!!

for any question or mistakes please make a comment!!

My Muddiest Point!!!

My muddiest point in this unit is the

word problem i don't seem to understand,

but i'm okay with the rational exp & eqns

My Muddiest Point

My Muddiest Point:

> In this unit is simplifying or Writing in exponential form with radical Variable's!

> For example this kind of Question?

Where I'm At In Pre-Cal

We are happy to see Mr. Kurapatwa back in action with our class.
During my time with Dr. Eviatar, i was okay with her style of teaching and we know that she was a new graduated student from University and she also tried her best . Anyway i was doing well in the past units that we have done and also okay where we are now in our new Unit.

Polynomials

Hello! Grade 10 Pre-Cal

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!!

Adding and Subtracting Polynomials
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!

the answer is 5x+2y

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:
Adding and Subtracting polynomial
Please Click

Multiplying Polynomial
Please Click

Next Scribe Blog Will be Rawena

I hope you guys will understand my blog
if not please live a comment for mistakes or anything

Thanks!!