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
.
X= 1,-3 If you factor equation you get x-1=0 and x+3=0
Hey there! :)
Answer:
x = -6.
Step-by-step explanation:
Given:
![\sqrt[3]{5x-4} = \sqrt[3]{7x + 8}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B5x-4%7D%20%3D%20%5Csqrt%5B3%5D%7B7x%20%2B%208%7D)
Cube both sides:
5x - 4 = 7x + 8
Subtract 5x from both sides:
-4 = 2x + 8
Subtract 8 from both sides:
-12 = 2x
x = -6.
Answers:
1. 74856 + 1489
= 76345
2. 42000/5
= 8400
3. 142100/10
= 14210
4. 2500 + (8-5)
2500 + 3
= 2503
5. 385 + (29 - 9)
385 + 20
= 405
6. 1780 - 643
= 1137
7. 4 x 2 + 30 / 5
4 x 2 + 6
8 + 6
= 14
8. 65743 - 754
= 64989
Answer:
a hollow cylinder
Step-by-step explanation:
the answer is a hollow cylinder
since the revolution only takes care of the curved surface area