Answer:
Option D. 2x⁷ - 12x⁶ + 10x⁵
Step-by-step explanation:
From the question given:
Length (L) = 2x²
Width (w) = x³
Height (h) = x² - 6x + 5
Volume (V) =?
Volume (V) = length (L) x width (w) x height (h)
V = L x w x h
V = 2x² × x³ × x² - 6x + 5
V = (2x²) (x³) (x² - 6x + 5)
V = (2x⁵) (x² - 6x + 5)
Clear bracket
V = 2x⁷ - 12x⁶ + 10x⁵
Therefore, the volume of the cube is 2x⁷ - 12x⁶ + 10x⁵
Answer:
The answer to your question is: This polynomial does not have root, it does not intercept the x-axis.
Step-by-step explanation:
a)
2x² + 4x + 7
To determine the number of roots of this polinomial, just look at the higher power and that number will be the maximum possible number of roots.
In this exercise, the maximum power is 2, so this polynomial could have at most 2 roots.
b) Find the possible roots of the polynomial, which are multiples of 7
Possible roots: ±1, ±7
2x² + 4x + 7
Use synthetic division to find the roots
2 4 7 1
2 6
2 6 13 +1 is not a root
2 4 7 -1
-2 -2
2 2 5 -1 is not a root
2 4 7 7
14 126
2 18 133 +7 is not a root
2 4 7 -7
-14 70
2 -10 -77 -7 is not a root
9. I assume the outlier is the asterisk, which appears to be around 4. An outlier is a piece of data that is far from other values.
10. 50%. The definition of the median is that half of the values are above it, and half are below.
Any questions?