A visual representation of a math problem involving polynomials. A clean whiteboard with various chalks of different colors - light blue, white, green, and red, lies in the foreground. On the board, drawn elements symbolically represent the equation y²+6y+9+4y⁴. The following elements are scattered across the board: squares to signify squared terms, small circles for addition signs, and large circles for the numbers. Four small cubes represent the y⁴ term. Please ensure the image is appealing and has no text.

How to write y²+6y+9+4y⁴ in standard form

Standard form of a polynomial is ordering all terms from the highest degree (power) to the lowest degree.

In this case:

4 y⁴ + y² + 6 y + 9

As this is a standard form so it will move from highest to lowest power so answer is 4y4+y2+6y+9

4y^4+y^2+6y+9

How to write y²+6y+9+4y⁴ in standard form

looks like the bot did not recognize the fact that the first part factors.

My answer:
(y+3)^ + y^4

looks like the bot did not recognize the fact that the first part factors.

My answer:
(y+3)^2 + y^4

Yes, you are correct. The standard form of the given polynomial is:


4y^4 + y^2 + 6y + 9

To write the polynomial y²+6y+9+4y⁴ in standard form, you need to arrange the terms in descending order of their powers (from highest to lowest).

The standard form of the polynomial is: 4y⁴ + y² + 6y + 9

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