Answer:
2. Eunju is right
3.
is a factor of
.
Step-by-step explanation:
<u>Polynomial Remainder Theorem</u>
The polynomial remainder theorem states that the remainder of the division of a polynomial f(x) by (x-a) is equal to f(a).
As a consequence, if a polynomial is divisible by x-a, f(a)=0.
Part 1:
Let's make:

To find out if x+b is a factor of f(x), we find f(-b):

Operating:

The value of f(-b) is not zero. This means Eunju is right, x+b is not a factor of f(x).
Part 2:
We must find out if
is a factor of
without using long division or synthetic division.
We can use the polynomial remainder theorem again, but since the factor is not in the form (x-a), we can factor it as follows:

Now we just apply the theorem twice. If both remainders are zero, then the assumption is true.
Let's make:

Find f(-2):


Find f(-3):



Since both f(-2) and f(-3) are zero,
is a factor of
.
Answer: It is not enough evidence to support the researcher's claim.
Step-by-step explanation:
Since we have given that
n = 500

So, the hypothesis are as follows:

So, the z value would be

At α = 0.05
z= -1.64
So, 1.64<-1.33
So, we accept the null hypothesis.
Hence, it is not enough evidence to support the researcher's claim.
Answer:
Step-by-step explanation:
Eleven adult chaperones will be needed
Answer:
14g zinc
Step-by-step explanation:
To get the mass of zinc in the metal bar, you can multiply the percentage of zinc by the total mass.
40g x .35 = 14g zinc