inal answer:
To find the constant term of a polynomial, multiply the constant terms of each factor. If the polynomial is not in factored form, additional steps may be needed to simplify the polynomial and find the constant term.
Step-by-step explanation:
To find the constant term of a polynomial, we need to look at the polynomial in its factored form. The constant term is the value that remains after all the variables are multiplied together. For example, in the polynomial (x+3)(x-2)(x+5), the constant term is -30 because it is the number that remains when the variables x are multiplied together (3 * -2 * 5 = -30).
In general, to find the constant term of a polynomial, you need to multiply the constant terms of each factor. So, if you have a polynomial in factored form as (x-a)(x-b)(x-c), the constant term would be -abc.
However, if the polynomial is not in factored form, you may need to perform additional steps such as polynomial long division or synthetic division to simplify the polynomial and find the constant term.