The sum of two polynomials has degree 4 and their difference has degree 2. What is
the degree of their product?

The degree of the product of the two polynomial is 6.

What is a polynomial?

A polynomial is a mathematical statement made up of coefficients and indeterminates that uses only the operations addition, subtraction, multiplication, and powers of positive integers of the variables. x² − 4x + 7 is an illustration of a polynomial with a single indeterminate x.

Given that there are two polynomial.

The sum of two polynomials has degree 4.

Thus the degree of a polynomial is 4.

The degree of the another polynomial is less than or equal to 4.

Also the difference of their degree is 2.

Thus the degree of the another polynomial is (4 – 2) =2.

The degree of the polynomials whose degree are a and b is a+b.

The degree of the product of the given polynomial is (4 + 2) = 6.

polynomialis 6.What is a polynomial?coefficientsand indeterminates that uses only theoperationsaddition,subtraction,multiplication, and powers of positive integers of the variables. x² − 4x + 7 is an illustration of a polynomial with a single indeterminate x.degree, click on below link: