princesskitten
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Julian fully simplifies this polynomial and then writes it in standard form. 4x2y2 – 2y4 – 8xy3 + 9x3y + 6y4 – 2xy3 – 3x4 + x2y2 If Julian wrote the last term as –3x4, which must be the first term of his polynomial in standard form? 4y4 6y4 –2xy3 –10xy3

Verified Answer :

Edufirst

Given that the last term is -3x^4, the polynomila is ordered in descending order of the exponent of x. Then, the first term is that where y is with the highest exponent, that is y^4

Simplify the terms with y^4: -2y^4 + 6y^4 = 4y^4

Then the first term is 4y^4

The first term of his polynomial in standard form is \(4y^4\)

Given that,

  • The polynomial is \(4x2y^2 - 2y^4 - 8xy^3 + 9x^3y + 6y^ - 2xy^3 - 3x^4 + x^2y^2\)
  • The last term is \(-3x^4\)

Calculation:

  • the polynomial should be ordered in descending order of the exponent of x.
  • So, the first term is that where y should with the highest exponent, that is\(y^4\)

Now

We have to Simplify the terms with \(y^4: -2y^4 + 6y^4 = 4y^4\)

learn more about the polynomial here: https://brainly.com/question/11298461?referrer=searchResults

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