Question

true or false3. The expression 78 − 22 + − 4 is a polynomial of degree 8

Answer 1

The expression is:

$7x^8-2x^2+x-4^{}$

In general, a polynomial has the form:

$a_nx^n+a_{n-1}x^{n-1}+\cdots+a_1x+a_0,a_n\ne0$

And we say that the polynomial is the degree n.

In our expression. a_n=7 and that is not equal to zero. Then, the expression is of degree 8 since a_n=7=a_8. The answer is true.