Question

which of the following expression is a polynomial? show your work here -56 4/x x^(-2)+3 x^(1.2) it is a branch of mathematics that uses letters, symbols, and numbers to represent and solve problems. show your work here geometry chemistry algebra biology

Explanation:

First Question

Step1: Recall polynomial definition

A polynomial in one - variable $x$ is an expression of the form $a_nx^n + a_{n - 1}x^{n - 1}+\cdots+a_1x + a_0$, where $n$ is a non - negative integer and $a_i$ are constants.

Step2: Analyze each option

• For $- 56$, it can be written as $-56x^0$, so it is a polynomial.
• For $x^{-2}+3$, the exponent of $x$ is $-2$ which is a negative integer, so it is not a polynomial.
• For $\frac{4}{x}=4x^{-1}$, the exponent of $x$ is $-1$ which is a negative integer, so it is not a polynomial.
• For $x^{1.2}$, the exponent of $x$ is a non - integer, so it is not a polynomial.

Algebra uses letters, symbols, and numbers to represent and solve problems. Geometry deals with shapes and spatial relationships, chemistry is a natural science about substances and their reactions, and biology is a natural science about living organisms.

Answer:

$-56$

Second Question