(8x9 + 7)(-3x2 + 6)

Question

the foil method

Answer 1

FOIL=First, Outer, Inner, Last for the order of multiplication of terms.

(8x⁹+7)(-3x²+6)=

First: (8x⁹)(-3x²)=-24x¹¹ +

Outer: (8x⁹)(6)=48x⁹ +

Inner: (7)(-3x²)=-21x² +

Last: (7)(6)=42

Result: -24x¹¹+48x⁹-21x²+42 is the solution.

QUICK CHECK

Set x=1: (8x⁹+7)(-3x²+6)=(15)(3)=45;

-24x¹¹+48x⁹-21x²+42=-24+48-21+42=90-45=45. The two results match.