polynomial complete the table for -7x^4+8x^3-3x^2+5x-9
not sure if this is correct sorry I did not post my answer to check to see if they were correct.
term
-7x^4
8x^3
3x^2
5x
-9
coefficient
-4
8
3
5
8
degree of term
4
3
2
1
0
degree of polynomial
7?
-7x^4
To complete the table for the polynomial -7x^4 + 8x^3 - 3x^2 + 5x - 9, we'll need to evaluate the polynomial for different values of x. Let's choose some values and substitute them into the polynomial expression:
For example, let's substitute x = -2 into the polynomial:
-7(-2)^4 + 8(-2)^3 - 3(-2)^2 + 5(-2) - 9
Simplifying this:
-7(16) + 8(-8) - 3(4) - 10 - 9
-112 - 64 - 12 - 10 - 9
-207
So, when x = -2, the value of the polynomial is -207.
Similarly, you can substitute different values of x into the polynomial to complete the rest of the table. Just plug the value for x into each term, perform the necessary calculations, and record the result in the table.
Regarding some of the other information you mentioned:
- The coefficient column lists the coefficients of each term in the polynomial. A coefficient is the number multiplied by a variable term.
- The degree of a term refers to the power of the variable. For example, in the term -7x^4, the degree is 4, because the variable x is raised to the power of 4.
- The degree of the polynomial is the highest degree among all the terms. In this case, the highest degree term is -7x^4, so the degree of the polynomial is 4. The degree does not refer to the number of terms in the polynomial.
- A correction in your table: The coefficient of the last term, -9, should be -9, not 8.
You can finish completing the table by substituting different values of x into the polynomial and evaluating it for each value.