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

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tramserran tramserran · Answer 1 · 2018-09-10T10:56:38+02:00

4x²y² - 2y⁴ - 8xy³ + 9x³y + 6y⁴ - 2xy³ - 3x⁴ + x²y²

= 5x²y² +4y⁴ - 10xy³ + 9x³y - 3x⁴ combined like terms

= -3x⁴ + 9x³y + 5x²y² - 10xy³ + 4y⁴ descending exponent order based on "x"

If Julian wrote his list in descending order based on "y", then the order would be reversed.

Answer: 4y⁴

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raphealnwobi raphealnwobi · Answer 2 · 2022-03-30T13:16:05+02:00

The first term of his polynomial 4x²y² – 2y⁴ – 8xy³ + 9x³y + 6y⁴ – 2xy³ – 3x⁴ + x²y² in standard form is 4y⁴

A polynomial is an expression that involves only the operations of addition, subtraction, multiplication of variables.

Given the polynomial:

4x²y² – 2y⁴ – 8xy³ + 9x³y + 6y⁴ – 2xy³ – 3x⁴ + x²y²

Collecting like terms and rearranging:

= – 2y⁴ + 6y⁴ – 8xy³ – 2xy³ + 4x²y² + x²y² + 9x³y – 3x⁴

Simplifying:

= 4y⁴ -10xy³ + 5x²y² + 9x³y – 3x⁴

The first term of his polynomial 4x²y² – 2y⁴ – 8xy³ + 9x³y + 6y⁴ – 2xy³ – 3x⁴ + x²y² in standard form is 4y⁴

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