# What is the basic principle that can be used to simplify a polynomial? What is the relevance of the order of operations in simplifying a polynomial?

The basic principle is to remove common factors. Mathematics is a language, and has rules. The order of operations is one of the vital rules allowing mathematics to communicate ideas as it is written. Following the order of operations is much like having a subject and verb in each sentence. Without it, it makes no sense.

can someone help me fin the zero's in plolynomials

can someone help me fin the zero's in plolynomials

what does 3x+7=

3x + 7

= 7/2 = 2.3333333333

3 x 2.3333333333 = 7

what does 3x+7=

5x(x-8)=0

2+2=

what is the basic principle that can be used to simplify a polynomial

(6)(3) + 4(2+12)

## What is the basic principle that can be used to simplify a polynomial?

## What operations can you associate with coefficients? What operations can you associate with exponents?

## What is the basic principle that can be used to simplify a polynomial? What is the relevance of the order of operations in simplifying a polynomial?

## The basic principle to simplify a polynomial is to combine like terms. This means that you add or subtract terms that have the same variables raised to the same power. For example, in the expression (6)(3) + 4(2+12), you would begin by simplifying the parentheses.

Starting with the expression 2+12, you would combine the terms by adding 2 and 12 to get 14. The expression then becomes (6)(3) + 4(14).

Next, you would simplify the multiplication within the parentheses. Multiplying 6 by 3 gives you 18, so the expression becomes 18 + 4(14).

Finally, you would simplify the multiplication between the 4 and 14. Multiplying the two gives you 56, so the final simplified expression is 18 + 56.

Adding 18 and 56 gives you a total of 74. Therefore, (6)(3) + 4(2+12) simplifies to 74.