Question

Sammy wrote a polynomial using only one variable, x, of degree 3. Myisha wrote a polynomial in the same variable of degree 5. What can you say about the degree of the product of Sammy’s and Myisha’s polynomials?

Answer 1

Answer:

The product polynomial will be of eight degree of x.

Step-by-step explanation:

Sammy wrote a three degree single variable polynomial of x.

Let us assume that the polynomial is (px³+qx²+rx+s) where, p, q, r, and s are any arbitrary constants.

Now, Myisha wrote a five-degree single variable polynomial of x.

Let us assume that the polynomial is ($ax^{5} +bx^{4}+cx^{3}+dx^{2} +ex+f$) where, a, b, c, d, e, anf f are any arbitrary constants.

Hence, if we multiply Sammy's three-degree polynomial (px³+qx²+rx+s) with Myisha's five-degree polynomial  ($ax^{5} +bx^{4}+cx^{3}+dx^{2} +ex+f$) then it is clear that the maximum degree of the polynomial obtained will be (3+5) =8.

Therefore, the product polynomial will be of eight degrees of x. (Answer)