The <em>least</em> polynomial in <em>standard</em> form is defined by the function f(x) = x⁷ + 6 · x⁶ - 54 · x⁴ - 81 · x³.
<h3>How to determine the least polynomial given a set of roots and a leading coefficient</h3>
Polynomials can be expressed as a product of binomials of the form (x - r) multiplied by a <em>leading</em> coefficient. The <em>least</em> polynomial contain the number of roots presented in statement, whose <em>factor</em> form is shown below:
f(x) = 1 · (x + 3)³ · x³ · (x - 3)
f(x) = (x + 3)³ · (x⁴ - 3 · x³)
f(x) = (x³ + 9 · x² + 27 · x + 27) · (x⁴ - 3 · x³)
f(x) = x⁷ + 9 · x⁶ + 27 · x⁵ + 27 · x⁴ - 3 · x⁶ - 27 · x⁵ - 81 · x⁴ - 81 · x³
f(x) = x⁷ + 6 · x⁶ - 54 · x⁴ - 81 · x³
The <em>least</em> polynomial in <em>standard</em> form is defined by the function f(x) = x⁷ + 6 · x⁶ - 54 · x⁴ - 81 · x³.
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Answer:
1000000000000000000000000000000000000007
Step-by-step explanation:
Answer:
Use the drop-down menus to identify the type of context clue that helped you determine the italicized word’s meaning.
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I made a New Year’s resolution to be generous, but I gave in to avarice instead.
The worst result of the hurricane was the inundation of water that flooded streets and basements.
Step-by-step explanation:
<span> x≥10
you add 4 to both sides</span>
Answer:
0,05
Step-by-step explanation:
1)First, Let’s find the mean of the data table
12 + 10 + 12 + 6 + 8 + 4 + 2 + 12 = 66
66 ÷ 8 = 8,25
2)12 - 8,25 = 3,75
10 - 8,25 = 1,25
12 - 8,25 = 3,75
6 - 8,25 = -1,75
8 - 8,25 = -0,75
4 - 8,25 = -3,75
2 - 8,25 = -5,75
12 - 8,25 = 3,75
3) 3,75 + 1,25 + 3,75 - 1,75 - 0,85 - 3,75 - 5,75 + 3,75 = 0,4
0,4 ÷ 8 = 0,05
