Explain one of the theorems that you would use to find the zero of higher degree polynomial

The Factor Theorem can be used to analyze polynomial equations. By it we can know that there is a relation between factors and zeros.

let:  f(x)=(x−a)q(x)+r.

If a is one of the zeros of the function , then the remainder r =f(a) =0

Notice, written in this form, x – a is a factor of f(x)

And vice versa , if (x−a) is a factor of f(x), then the remainder of the Division Algorithm f(x)=(x−a)q(x)+r  is 0. This tells us that a is a zero.

So, we can use the Factor Theorem to completely factor a polynomial of degree n into the product of n factors. Once the polynomial has been completely factored, we can easily determine the zeros of the polynomial.

a) 0.25x times 3. (could be wrong on equation.)

b) 2.25 pound of dark chocolate. (can i eat all the chocolate? plz? anyway, again, could be wrong, but i hope im right. all the chocolate together should be 5.25 pounds)

have a good day!

5   1/4   miles per hour

step-by-step explanation:

15   3/4 / 3 = 5   1/4