Determine the independent and dependent variables tested in the following experiment. If applicable, and identify any positive or negative controls. A study is being done to test the effects of habitat space on the size of fish populations. Different sized aquariums are set up with six goldfish in each one. Over a period of six months, the fish are fed the same type and amount of food. The aquariums are equally maintained and cleaned throughout the experiment. The temperature of the water is kept constant. At the end of the experiment the number of surviving fish are surveyed.
A. Independent Variable: Different sized aquariums
B. Dependent Variable: number of fish that survived
C. Controls: Negative controls are the food, maintenance, water temperature.

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pikachu17

12.10.2021

Mathematics

A. p(x)=ax^3+bx^2+cx+d

B. For example: (x+2)+(2x^2+4x+9)=2x^2+5x+11 is a polynomial

Step-by-step explanation:

Degree is the highest power of the exponent in the polynomial.

A third degree polynomial is of form p(x)=ax^3+bx^2+cx+d . Its degree is 3.

This polynomial is in standard form as the terms are ordered from the biggest (3) to the lowest exponent (0).

A polynomial is an expression consisting of variables and coefficients combined together using arithmetic operations. Exponents of variables are non-negative integers.

Polynomials are closed under addition as sum of two polynomial is also a polynomial.

For example: take two polynomials as x+2,2x^2+4x+9

Here,

$(x+2)+(2x^2+4x+9)=x+2+2x^2+4x+9\\=2x^2+5x+11$

2x^2+5x+11 is also a polynomial.

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