state degree
4(x+8)^2(x-8)^3=0
(x+8)^2 (x-8)^3
I think the degree is 5, is that correct?
Errm is it asking for the highest power of the polynomial? If so then yes.
Yes. Thanks.
To determine the degree of a polynomial, you need to look at the highest power of the variable. In this case, the variable is "x".
The highest power of "x" is found by multiplying the highest exponent of each factor. In the given expression, the factors are (x + 8) and (x - 8).
For (x + 8), the highest exponent is 2 (the power of x is 1, and since it's squared, it becomes 2).
For (x - 8), the highest exponent is 3 (the power of x is 1, and since it's cubed, it becomes 3).
Now multiply these exponents together: 2 * 3 = 6.
Therefore, the degree of the polynomial 4(x + 8)^2(x - 8)^3 = 0 is 6, not 5.