Question #c7477

1 Answer
Feb 13, 2018

Answer:

#2x^4+16x^3+35x^2+10x-21#

Explanation:

In problems like these, we have to multiply everything in the first set of parentheses by everything in the second parenthesis.

#color(blue)(x^2)+color(red)(6x)+color(orange)(7)#

#color(blue)(x^2)(2x^2+4x-3)+color(red)(6x)(2x^2+4x-3)+color(orange)(7)(2x^2+4x-3)#

Distributing the #color(blue)(x^2)#:
#2x^4+4x^3-3x^2#

Distributing the #color(red)(6x)#:
#12x^3+24x^2-18x#

Distributing the #color(orange)(7)#:
#14x^2+28x-21#

Putting it all together:
#2x^4+4x^3-3x^2+12x^3+24x^2-18x+14x^2+28x-21#

Combining like terms:

#2x^4+16x^3+35x^2+10x-21#