A)
Multiple Choice
What is the degree of the monomial 3x y ?
(1 point)
2 3
2
3
5
6
The degree of a monomial is the sum of the exponents of its variables. In this case, the degree of the monomial 3xy is 2+1 = 3. So the correct answer is 3.
A)
What is the difference of the following polynomials?
(6x^3 – 2x^2 + 4)
– (2x^3 + 4x^2 – 5)
_____________
To find the difference of the polynomials, we simply subtract the second polynomial from the first polynomial term by term:
(6x^3 – 2x^2 + 4)
– (2x^3 + 4x^2 – 5)
__________________
= 6x^3 – 2x^2 + 4 - 2x^3 - 4x^2 + 5
Now we can combine like terms:
= (6x^3 - 2x^3) + (-2x^2 - 4x^2) + (4 + 5)
= 4x^3 - 6x^2 + 9
Therefore, the difference of the two polynomials is 4x^3 - 6x^2 + 9.
f(x)=3x^3-4x^2+6x and g(x)=5x^3+2x^2-3x what f(x)-g(x)
To find f(x) - g(x), we subtract the second polynomial (g(x)) from the first polynomial (f(x)):
f(x) - g(x) = (3x^3 - 4x^2 + 6x) - (5x^3 + 2x^2 - 3x)
Now, let's combine like terms:
= 3x^3 - 5x^3 - 4x^2 - 2x^2 + 6x + 3x
= -2x^3 - 6x^2 + 9x
Therefore, f(x) - g(x) is -2x^3 - 6x^2 + 9x.