Oder of operations is this;
-2x^4 + 24x^2 - 10
u have 3 terms.....and since u are only dealing with 1 variable with the highest exponent being 4, then what u have here is a 4th degree trinomial.
U have a lead coefficient of -2.
Ur constant term is -10
And ur middle term (24x^2) has a degree of 2
a cubic binomial.....a binomial has 2 terms and it being cubic means the highest term has a degree of 3
example would be : x^3 - 4
how many constants can a polynomial have ? I am not sure about this one...I wanna say 1 because u can simplify it if it has more then 1...but I am not 100% sure on this one
3x^2 + 6xy -10x^5 + y^6 - 10x^3y^5
when u have a polynomial with more then 1 variable, such as this one, the degree is not the highest exponent, it is the highest term.....-10x^3y^5...u add the exponents....so this term has a degree of 8, and it is the highest one in this problem....so this is an 8th degree polynomial with 5 terms
Factor out the trinomial. Find factors of x² and 6 that would, when added, give you 5x
x² = x * x
6 = 3 * 2
(x + 3)(x + 2) are your binomials.
To solve for x, set each parenthesis = 0
x + 3 = 0
x + 3 (-3) = 0 (-3)
x = -3
x + 2 = 0
x + 2 (-2) = 0 (-2)
x = -2
x = -3, -2
hope this helps
