Polynomial equation is a equation which is formed with coefficients variables and exponents with basic mathematics operation and equality sign. The given option the option A matches correctly with the above polynomial equation which is,

Hence the option A is the correct option.
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Given information-</h3>
The given polynomial equation in the problem is,

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Polynomial equation </h3>
Polynomial equation is a equation which is formed with coefficients variables and exponents with basic mathematics operation and equality sign.
In the above polynomial equation the variable are<em> x </em>and <em>y </em>and the highest power of the variable <em>x</em> is four and highest power of the variable <em>y</em> is three.
Arrange the polynomial equation in the power of the variable <em>x. </em>Thus,

Arrange the polynomial equation in the power of the variable <em>y. </em>Thus,

From the given option the option A matches correctly with the above polynomial equation which is,

Thus the option A is the correct option.
Learn more about the polynomial equation here;
brainly.com/question/25958000
Slope-intercept form:
y = mx + b
"m" is the slope, "b" is the y-intercept (the y value when x = 0)
You need to find "m" and "b".
If you look at the graph, when x = 0, y is 1, so the y-intercept is 1.
y = mx + 1
To find "m", you can use the slope formula and find two points on the graph and plug it in, or you can use this:

Rise is the number of units you go up(+) or down(-)
Run is the number of units you go to the right.
If you look at the graph, from each point you go up 1 unit, and to the right 1 unit. So your slope is
or 1
y = 1x + 1
y = x + 1
29 cents..............................