Question #c7477

1 Answer
Feb 13, 2018

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