Question

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

Answer 1

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 2

`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.