What is the product of the polynomials below? (6x3 + 3x)(x2 + 4)

2 Answers
May 28, 2018

You have written the question in an odd manner: I will assume you meant
(6x^3+3x)(x^2+4)(6x3+3x)(x2+4)
In this case:
It is the same as 6x^3(x^2+4) + 3x(x^2+4)6x3(x2+4)+3x(x2+4)
so expanding this:
we get
6x^5+24x^3 +3x^3+12x6x5+24x3+3x3+12x (remember when you times like this x^3x3 x x^2x2 you just add the powers)

so just adding like terms:

6x^5+27x^3+12x6x5+27x3+12x

6x^5 + 27x^3 + 12x6x5+27x3+12x

Explanation:

Use FOIL (First Outer Inside Last)

  • First: 6x^3 * x^2 = 6x^56x3x2=6x5
  • Outer: 6x^3 * 4 = 24x^36x34=24x3
  • Inner: 3x * x^2 = 3x^33xx2=3x3
  • Last: 3x * 4 = 12x3x4=12x

Add together and combine like terms.