How do you multiply #6x (x^3 + 5x^2 + 3x + 1)#?

1 Answer
May 1, 2018

Answer:

#6x^4 + 30x^3 + 18x^2 + 6x#

Explanation:

To multiply this, we use the distributive property, as shown here:
cdn.virtualnerd.com

Following this image, we expand:
#(6x * x^3) + (6x * 5x^2) + (6x * 3x) + (6x * 1)#

Multiplying all this out, we get:
#6x^4 + 30x^3 + 18x^2 + 6x#

Hope this helps!