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

Question

asked Jan 6, 2019 105k views

2 Answers

Nakajima · Answer 1 · 2019-01-12T18:25:33+0000

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.