Question

Multiply the polynomial (3x^2+3x+5)(6x+4)

Answer 1

18x³+30x²+42x+20

Answer 2

Answer: The required multiplied expression is
`18x^3+30x^2+42x+20.`

Step-by-step explanation: We are given to multiply the following polynomial :

`P=(3x^2+3x+5)(6x+4)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)`

To multiply the given expressions, we must multiply each term of one expression to every term of the other expression.

The multiplication of (i) is as follows :

`P\\\\=(3x^2+3x+5)(6x+4)\\\\=6x(3x^2+3x+5)+4(3x^2+3x+5)\\\\=18x^3+18x^2+30x+12x^2+12x+20\\\\=18x^3+30x^2+42x+20.`

Thus, the required multiplied expression is
`18x^3+30x^2+42x+20.`