Q32. - Algebra 1

Question

Write the given polynomial in standard form.

 

$x+2+3x^2$

Step-by-Step Solution

Answer

The given expression can be best described as $3x^2+x+2$.

Step 1. Define a polynomial.

A polynomial is defined as an expression which is composed of variables, constants and non-negative exponents that are combined by using mathematical operations.

Step 2. Define the meaning of standard form of a polynomial.

The standard form of a polynomial means, writing the polynomial in descending powers of the variable.

Step 3. Write the polynomial, x + 2 + 3 x 2 in standard form

Observe the polynomial, $x+2+3x^2$.

 

Terms of the polynomial are $x,2$ and $3x^2$.

 

The term having highest power of $x$ is $3x^2$.

 

Arrange the terms of the polynomial in descending power of $x$.

 

That is equal to $3x^2+x+2$.

 

This is the required standard form of the polynomial.

 

Therefore the standard form of the polynomial is $3x^2+x+2$.