I actually have 3 questions... my math is kind of hard...?

Question

a(give the degree of the polynomial)
b(give the coefficient in the highest degree term)
c(give the constant term)
d(decide the polynomial of one or several variables)

1. 10-3x-x^2

this is what i think\
a=1
b=10
c=10
d=1 variable

also how do i go about this one, i have no clue
7x^2 y-14xy^3 z

Answer 1

1a 2 (the largest exponent)
1b -1
1c 10
1d 1 variable

2a 5 (add all the exponents in each term)
2b -14
2c no constant term
2d 3 variables

Answer 2

Ok, lets define terms here.

a polynomial is defined as

a_n*x^n + a_n-1* x^(n-1) + a_n-2*x^(n-1) +...+ a_1*x+ a_0

the highest term is given by x^2
its coefficient is given by a_n
constant is a_0
and the variable, in this case is x

so, from the expression you have

-x^2 - 3x + 10 (arrange on this order, so is easier to see)

degree of polynomial is 2
coefficient of the highest term is -1
constat value is 10
and there is only one variable involved (x)

in your second case, you have a mixed value polynomial; the principles are still the same

-14xy^3z + 7x^2y

the degree of the polynomial is 3 (y^3)
the coefficient of the highest term is -14
the constant value is 0
and it is composed of three variables (x,y and z)

Hope this explanation helps. Good luck.