Question

Multiply the polynomial x (3x-1)(2x+5) also what is the degree of the polynomial

Answer 1

Result after multiplication of polynomial is:
`6x^3+13x^2-5x`

Degree of polynomial = 3

Explanation:

The given polynomials are:

`x(3x-1)(2x+5)`

In order to multiply the given polynomials we have to work step by step. First of all the polynomials in the bracket will be multiplied and then their result will be multiplied with x.

So, multiplying the polynomials in round brackets first

`=x(3x-1)(2x+5)\\= x\{3x(2x+5)-1(2x+5)\}\\=x\{6x^2+15x-2x-5\}\\=x(6x^2+13x-5)`

Now multiplying with x

`= 6x^3+13x^2-5x`

Degree of a polynomial is the highest exponent of variable in the polynomial.

In the acquired result, the highest exponent of x is 3 so the degree is 3.

Hence,

Result after multiplication of polynomial is:
`6x^3+13x^2-5x`

Degree of polynomial = 3