Question

3x+12 classify the following polynomials by agree and number terms

Answer 1

The degree of the polynomial is 1 and the number of terms is 2.

Explanation:

The degree of the polynomial 1 and the number of terms is 2.

The degree of a term is the sum of the exponents of the variable factors.

The degree of a polynomial is the largest degree of its terms.

For example:

`3x+12\\`

The degree is 1 and there are two terms ,
`3x` and
`+12`

Why degree of 1, there is no exponent though?

In math there is an invisible variable and exponent. Pretend x is 3.

`3x=3(3)=9\\\\3x^1=3(3)^1=3(3)=9`

Both expressions above have the same value.

12 can be written as
`12x^0`.

You need to solve exponents first so any number multiplied by the power of 0 is 1. x*0 is 1. Therefore, 1 times 12 is still 12.

`12=12\\12x^0=12(3)^0=12(1)=12`