Question

Multiply (x^2-3) (2x-7x^3+4) and write the degree of the product. *​

Answer 1

Answer:

The given polynomial is (x

2

−3)(2x−7x

3

+4).

Now on multiplying,

(x

2

−3)(2x−7x

3

+4)

=2x

3

−6x−7x

5

+21x

3

+4x

2

−12

=−7x

5

+23x

3

−6x−12.

We know, in a polynomial in one variable, the highest power of the polynomial term with a non-zero coefficient, is called the degree of the polynomial.

Here, the highest power of the variable x is 5.

∴ The degree of the given polynomial is 5.