name the type of polynomial and give its degree for 7x to the 3rd power + 6x to the 2nd power -2=
in symbols, that is
7x^3 + 6x^2 - 2
trinomial, 3rd degree
To determine the type of polynomial and its degree, we need to understand the terms and power of the variables in the given polynomial expression.
In this case, the given polynomial expression is:
7x^3 + 6x^2 - 2
Power of a variable is determined by the exponent attached to it. So, we have x raised to the power of 3 and x raised to the power of 2, which are the highest powers in this expression.
The type of polynomial is determined by the highest power of the variable present. In this case, the highest power is 3, so this polynomial is a "cubic polynomial".
The degree of a polynomial is equal to the highest power of the variable term. For this polynomial, the degree is 3 since the highest power is 3.
Therefore, the given polynomial expression "7x^3 + 6x^2 - 2" is a cubic polynomial of degree 3.