Question

Please help complete the table to show the coefficents of each term in the expression

Answer 1

In order from left to right

5,0,0,-4,0,0,8

Explanation:

A coefficient is a number that comes before the variable in an equation. First of all, it is important to note that variables that are not present in the equation have a coefficient of 0. This is because 0 times a number is 0; therefore, if a variable is not present it must be multiplied by 0. Additionally, constants can be represented as
`x^0`. Any number raised to the power of 0 is 1. Thus, the coefficient of x^0 is 5 because 1*5=5. Finally, the numbers 8 and -4 appear before
`x^6` and
`x^3`, respectfully. Since they come before variables in a term they must be coefficients.