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:
14.2
Step-by-step explanation:
-18-6k= 1+3k
9k=-19
k=-19/9
k=-2 and 1/9
Answer:
C-7/8
R-8/9
P-61/66
L-11/18
I-3/4
A-7/12
O-47/55
H-29/40
S-28/33
T-4/5
M-11/12
E-71/84
U-13/42
N-19/20
I swear to god if I don’t get brainliest I’m going to lose it I haven’t done this math in like four years and it kinda took a while.... but I hope it helped u ☺️☺️☺️❤️❤️❤️❤️
Step-by-step explanation: