According to the Fundamental Theorem of Algebra, which polynomial function has exactly 8 roots?f(X) 3x4 +2xfox)- (6x -4x5-10 3x2-4
Answers
A. (3x²-4x-5)(2x⁶-5)
Explanation:
The fundamental theorem of Algebra states that:
"A polynomial of degree 'n' will have exactly 'n' number of roots"
We know that the degree of the polynomial is given by the highest power of the polynomial.
Applying the above theorem on the given question, we can deduce that the polynomial that has exactly 8 roots is the polynomial of the 8th degree
Now, let's check the choices:
A. (3x²-4x-5)(2x⁶-5)
The term with the highest power will be (3x²)(2x⁶) = 6x⁸
Therefore, the polynomial is of 8th degree which means it has exactly 8 roots. This option is correct.
B. (3x⁴+2x)⁴
The term with the highest power will be (3x⁴)⁴ = 81x¹⁶
Therefore, the polynomial is of 16th degree which means it has exactly 16 roots. This option is incorrect.
C. (4x²-7)³
The term with the highest power will be (4x²)³ = 64x⁶
Therefore, the polynomial is of 6th degree which means that it has exactly 6 roots. This option is incorrect
D. (6x⁸-4x⁵-1)(3x²-4)
The term with the highest power will be (6x⁸)(3x²) = 18x¹⁰
Therefore, the polynomial is of 10th degree which means that it has exactly 10 roots. This option is incorrect
Hope this helps :)
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Answers
save 200 bucks
The car dealer is selling the car for $200 less than the suggested price so Trina is saving $200
16 children : 20 adults
yes
no
Answers
Answer:
No
Step-by-step explanation:
If product of mean = product of extreme, then ratios are equivalent.
18 : 12 :: 16:20
Product of mean = 12 * 16 = 192
Product of extreme = 18 * 20 = 360
Not equivalent ratios
Answers
Answer:
Step-by-step explanation:
B. Exactly 1/4
C. Exactly 3/4
D. More than 3/4
Answers
Answers
Using substitution method, the system of linear equations has no solution.
What is the solution to the system of equations?
To determine the solution to the system of equations, we can use substitution method;
4x - 5y = 5 ...eq(i)
-0.08x + 0.10y = 0.10 ...eq(ii)
From equation (i)
4x - 5y = 5
let's make x the subject of formula;
4x = 5 + 5y
x = (5 + 5y) / 4 ...eq(iii)
Put eq(iii) into equ(ii)
-0.08[(5 + 5y)/4] + 0.10y = 0.10
(-2/5 - 2/5y)/4 + 0.10y = 0.10
y = no solution
Since y has no solution, this implies that the system of linear equations has no solution.
Learn more on system of linear equations here;
#SPJ6
you have:
4x-5y=5
-0.08+0.10y=0.10
Take....
4x-5y=5----> *1 -----> 4x-5y=5
-0.08+0.10y=0.10---> *50---->-4x+5y=5
Now....
4x-5y=5
-4x+5y=5
As you may be able to tell it has no solution.
Thus, your answer.
Answers
-6 -6
2x = 10
2x/2
10/2
x = 5
Hope this helps
The equation at the top is the answer and it has a solution of 5.