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)#
In this case:
It is the same as #6x^3(x^2+4) + 3x(x^2+4)#
so expanding this:
we get
#6x^5+24x^3 +3x^3+12x# (remember when you times like this #x^3# x #x^2# you just add the powers)

so just adding like terms:

#6x^5+27x^3+12x#

Answer:

#6x^5 + 27x^3 + 12x#

Explanation:

Use FOIL (First Outer Inside Last)

  • First: #6x^3 * x^2 = 6x^5#
  • Outer: #6x^3 * 4 = 24x^3#
  • Inner: #3x * x^2 = 3x^3#
  • Last: #3x * 4 = 12x#

Add together and combine like terms.