Answer:
Fourth degree polynomial (aka: quartic)
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Work Shown:
There isnt much work to show here because we can use the fundamental theorem of algebra. The fundamental theorem of algebra states that the number of roots is directly equal to the degree. So if we have 4 roots, then the degree is 4. This is assuming that there are no complex or imaginary roots.
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If you want to show more work, then you would effectively expand out the polynomial
(x-m)(x-n)(x-p)(x-q)
where
m = 4, n = 2, p = sqrt(2), q = -sqrt(2)
are the four roots in question
(x-m)(x-n)(x-p)(x-q)
(x-4)(x-2)(x-sqrt(2))(x-(-sqrt(2)))
(x-4)(x-2)(x-sqrt(2))(x+sqrt(2))
(x^2-6x+8)(x^2 - 2)
(x^2-2)(x^2-6x+8)
x^2(x^2-6x+8) - 2(x^2-6x+8)
x^4-6x^3+8x^2 - 2x^2 + 12x - 16
x^4 - 6x^3 + 6x^2 + 12x - 16
We end up with a 4th degree polynomial since the largest exponent is 4.
Answer:
x=11/2
Step-by-step explanation:
Answer:
The entire Question:
Vince has a movie rental gift card that start with $50 on it. Each movie he rents costs him $4.
Write a linear function that models how many dollars ,d, Vince has left on his card based on the number of movies ,m, he has rented
What is the slope of your above equation ?
What is the y -intercept of the equation.
How would you intercept the statement d(11)=6
Step-by-step explanation:
Answer:
Slope: -4
Y-intercept: 50
I can't figure out the last one sorry :(
Answer:
9:0
Step-by-step explanation:
how do u expect me to explain it
Answer:
25% or 1/4 for apple and 50% or 1/2 for orange
Step-by-step explanation:
When you add all of them up you get 20 and 5/20 is equal to 1/4 or 25%.
10/20 is equal to 1/2 or 50%
