Read pg 474-477
#1-15 All
#17,21,25,32,35,38,42,45,47,52,66
Know you new vocabulary:
- Monomial
- Polynomial
- Degree of a monmial
- Degree of a polynomial
- Degree of a term
Re-read and understand COMBINE LIKE TERMS
New Learning
- Standard Form of a Polynomial
- Add & Subtract Polynomials Vertically & Horizontally
For Example Problem 3A on pg 475, why is it called a quadratic binomial if the exponent is 2? Shouldn't it be something like a "squared" binomial? Because on Ex. Prob. 3B it is a cubic binomial & its exponent is 3...
ReplyDeleteOh never mind.. It just confused me because quadratic sounds like it would have a degree of 4 =)
ReplyDeleteFor a question like #12, would you add the exponents together (3 + 1) or would you just keep the degree as 3? Would you have to add the degrees if one variable's degree is 1?
ReplyDeleteSorry, it sounds a little confusing. =(
Isn't #25 already in Standard Form?
ReplyDeleteThe definitions of degree of a term (aka a monomial term or just a monomial or just a term) means to add all of the exponents for each of the variable factors in the term... so...
ReplyDelete3x^3y^4 has a degree of 7 (notice that the "exponent" of the coefficient is ignored, we only count the exponents of the variable).
For an expression such as 3x^2y^3 + 2x^2y^2, the degree of the polynomial is 5, since that represents the highest degree of any of the terms.
A polynomial is in standard form when it is written in descending order of degree. Within a term, variables should always be written in alphabetical order.
It's muddy at first, but you'll get used it... that's why we call it section 1!!
Okay! =)
ReplyDeleteThanks for the help! I got everything else =)
I'm scared of what I got on the test D=
ReplyDeleteOne more thing.. If the equation was something like 3y^3(4y) would you add the exponents as 3+1 or would it just be 3 as the degree?
ReplyDeleteSIMPLIFY, YOUNG MAN, SIMPLIFY!!!
ReplyDeleteWhen you are working with polynomials, it is ASSUMED that you are working with SIMPLIFIED EXPRESSIONS. That means no parentheses and no like terms, right?
So 3y^3(4y) is not simplified, right?
It is really 12y^4
Look at this:
3y^2(4y^5 + 5x^3y)
... before you CLASSIFY, you must SIMPLIFY!
12y^7 + 15x^3y^3, right?
I'm grading the tests tonight... so you'll find out tomorrow :(
Young LADY! =)
ReplyDeleteAnd right!
And ok =(
And the kind of question I meant to ask was:
ReplyDeleteIf the equation was something like 3y^3(4x), would the degree also be 4?
Yes, young PERSON, the degree of a TERM is the sum of the exponents of the variables (coefficients don't count).
ReplyDeleteThe degree of an expression (equation have = signs, btw) is derived from the highest degree term... called the high-order term.
The terminology is a little intimidating at first... the more you use it the more you get used to it.
Ok.. Person works too!
ReplyDeleteYep.. I meant expression.
Okey doke!