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Mathematics 8 Online
OpenStudy (anonymous):

-15x^3+6x^2

OpenStudy (anonymous):

actually that 6 is suppose to be a 4

OpenStudy (aum):

What are you asked to do? Factor?

OpenStudy (anonymous):

no i just need to know if I would add or subtract those exponents

OpenStudy (aum):

You add exponents when you multiply, say, \(\large a^m \times a^n = a^{m+n}\). Here you are adding two terms. So you don't do anything with the exponents.

OpenStudy (anonymous):

so the answer would be -11x^5?

OpenStudy (aum):

No. They are not LIKE terms and so there is nothing you more to do. For example: \(\large -15x^3+4x^3 = -11x^3\) \(\large -15x^3 \times 4x^2 = -60x^5\) But \(\large -15x^3+4x^2 = -15x^3 + 4x^2\) nothing more can be done.

OpenStudy (aum):

You can factor out x^2 if you want but that is about it. \(\large -15x^3 + 4x^2 = x^2(-15x + 4) \)

OpenStudy (anonymous):

What is the quotient (6x4 – 15x3 + 10x2 – 10x + 4) ÷ (3x2 + 2)? 2x2 – 5x + 2 2x2 + 5x – 2 2x2 – 5x – 2 2x2 + 5x + 2

OpenStudy (anonymous):

thats the question

OpenStudy (aum):

2x^2 - 5x + 2 ------------------------------- 3x^2 + 0x + 2 | 6x^4 – 15x^3 + 10x^2 – 10x + 4 | 6x^4 + 0x^3 + 4x^2 --------------------------- - 15x^3 + 6x^2 - 10x - 15x^3 - 0x^2 - 10x ------------------------------ 6x^2 + 0x + 4 6x^2 + 0x + 4 ------------------- 0

OpenStudy (anonymous):

thanks

OpenStudy (aum):

yw

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