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Mathematics 8 Online
OpenStudy (andrewkaiser333):

What is the degree of the monomial 3x^2y^3

OpenStudy (anonymous):

it is 1

OpenStudy (andrewkaiser333):

i don't quite understand

OpenStudy (andrewkaiser333):

1st degree?

OpenStudy (andrewkaiser333):

ok

OpenStudy (andrewkaiser333):

2 i say this one 3 5 6 those are the answer

OpenStudy (mathstudent55):

Add the powers of all the variables.

OpenStudy (andrewkaiser333):

you can't it is x and y 2 different variables

OpenStudy (mathstudent55):

The degree of a monomial is the sum of the exponents of all the variables of the monomial. The degree of a polynomial is the same as the degree of the monomial with highest degree.

OpenStudy (mathstudent55):

You can't add x^2 and y^3, but the question is the degree. In this case you add the exponents.

OpenStudy (andrewkaiser333):

i am confused now

OpenStudy (andrewkaiser333):

wait so you are saying 5 is the answer

OpenStudy (anonymous):

it wouldnt be a monomial because their is 3 terms so, it would be a trinomial

OpenStudy (andrewkaiser333):

then What is the simplified form of 8b3c2 + 4b3c2

OpenStudy (andrewkaiser333):

12bc 12b3c2 12b6c4 12b9c4

OpenStudy (andrewkaiser333):

i think it is c

OpenStudy (mathstudent55):

A monomial is a number multiplied by no variables of any number of variables. These are examples of monomials: 2 -5x 2x^3y -1 a^2b

OpenStudy (mathstudent55):

@AndrewKaiser333 If I asked you to add 5 books and 6 books. What is the answer?

OpenStudy (andrewkaiser333):

What is the simplified form of (4j^2 + 6) + (2j^2 – 3) 6j2 – 3 6j2 + 3 i think it is this one 6j2 + 9 4j4 + 3

OpenStudy (andrewkaiser333):

11 books

OpenStudy (mathstudent55):

Correct. It is not 11 books^2 is it? It's simply 11 books. 8b^3c^2 + 4b^3c^2 = 12b^3c^2 The exponents do not change. They only change when you multiply variables together.

OpenStudy (andrewkaiser333):

What is the difference of the following polynomials? (6x^3 – 2x^2 + 4) – (2x^3 + 4x^2 – 5) ______________ 4x^3 – 2x^2 – 1 8x^3 + 6x^2 – 1 4x^3 – 2x^2 + 1 4x^3 – 6x^2 + 9

OpenStudy (mathstudent55):

What is the simplified form of (4j^2 + 6) + (2j^2 – 3) Drop the parentheses: 4j^2 + 6 + 2j^2 - 3 Rearrange the terms: 4j^2 + 2j^2 + 6 - 3 Now add like terms. Like terms are terms that have exactly the same variable part. 4j^2 and 2j^2 are like terms and can be combined together. 6 and -3 are like terms and can be combined together. 6j^2 + 3 (Final answer)

OpenStudy (andrewkaiser333):

I think it is A

OpenStudy (andrewkaiser333):

am i right

OpenStudy (mathstudent55):

My suggestion in your last question is to distribute the negative sign through every term of the second polynomial. That will change every sign in the second polynomial. Then add the polynomials together.

OpenStudy (andrewkaiser333):

i put A as my answer but i am asking if i am right?

OpenStudy (mathstudent55):

Rewrite teh first polynomial exactly as it is. Then below it, rewrite the second polynomial with all the signs changed. Then add them together. The answer is not A

OpenStudy (andrewkaiser333):

i am confused

OpenStudy (mathstudent55):

I'm trying to explain to you how to do it. Learning it properly is better than guessing.

OpenStudy (mathstudent55):

Follow what I am telling you to do. 1) Rewrite the first polynomial just as it is.

OpenStudy (mathstudent55):

Do it and let me see it. Copy it and paste it below.

OpenStudy (andrewkaiser333):

(6x^3 – 2x^2 + 4) – (2x^3 - 4x^2 + 5)? that what you mean

OpenStudy (mathstudent55):

1) Rewrite the first polynomial just as it is. Just the first line

OpenStudy (mathstudent55):

6x^3 - 2x^2 + 4

OpenStudy (andrewkaiser333):

huh

OpenStudy (andrewkaiser333):

show me maybe then i will under stand

OpenStudy (andrewkaiser333):

4x3 – 6x2 + 9 is that the answer to it

OpenStudy (andrewkaiser333):

i am guessing

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