$A(x)$ is a polynomial of degree 4 and $B(x)$ is a polynomial of degree 3. What is the degree of $A(4)$ x $B(4)$ ?

Question

695 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-09-25T11:38:42

See explanation.

The degree of a product of 2 polynomials is the sum of degrees of the polynomials, so here we have:

$A(x)$ is a polynomial of degree $4$ ,
$B(x)$ is a polynomial of degree $3$ , so the product $A(x)xxB(x)$ is a polynomial of degree $7$

A(x)A(x) is a polynomial of degree 4 and B(x)B(x) is a polynomial of degree 3. What is the degree of A(4)A(4) x B(4)B(4)?