x + 2 is not a factor of the polynomial and - 2 is <u>not a root</u> of the function.
<h3>
Synthetic subdivision of the polynomial</h3>
The synthetic subdivision of the polynomial is calculated as follows;
if -2 is a root, then x + 2 is a factor of the polynomial.
-3x³ + 6x² - 10x + 17
--------------------------------------
x + 2 √-3x⁴ + 2x² - 3x + 4
- (-3x⁴ - 6x³)
-----------------------------
6x³ + 2x² - 3x + 4
- (6x³ + 12x²)
-----------------------------
-10x² - 3x + 4
- (-10x² - 20x)
----------------------------
17x + 4
- (17x + 34)
-----------------------
-30
The remainder is not equal to zero, thus, x + 2 is not a factor of the polynomial and - 2 is not a root of the function.
Learn more about factors here: brainly.com/question/219464
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A set containing
elements has a power set containing
elements; here,
so
.
The elements of the power set are all possible combinations of up to 5 of the total 5 elements to choose from:
0 choices (1):
(since
)
1choice (5):
2 choices (10):
3 choices (10):
and so on
4 choices (5);
and so on
5 choices (1):
(1 + 5 + 10 + 10 + 5 + 1 = 32)
Answer:
x=4, y=9
Step-by-step explanation:
Solve with substitution.