show me how to get the opposite of the polynomial 28x^2 - 7x + 5

Solution:

The opposite of a polynomial P usually refers to the polynomial -P. That is the polynomial that "adds" to P to make 0. 

 

leads us to 

 

so we reverse the sign or operation for each term: 

a) Find the number of terms and the degree of this polynomial.
b) Find the constant term and leading term.

Solution:
a)
This polynomial has 4 terms. Terms are separated by addition or subtraction. Its degree is 3, because 3 is the greatest value for an exponent for its terms

b)
The constant term is -32 and the leading term is -2