Tính f(x) - g(x) với :
f(x) = x7-3x2-x5+x4-x2+2x+5
g(x) = x-2x2+x4-x5-x7-4x2-1
Giải :
+) ( x7-3x2-x5+x4-x2+2x+5 ) - ( x-2x2+x4-x5-x7-4x2-1 )
= x7-3x2-x5+x4-x2+2x+5 - x+ 2x2 - x4 + x5 + x7+ 4x2 +1
= \(\left(x^7+x^7\right)\) +( -3x2 - x2 + 2x2 + 4x2 ) + (-x5 + x5 )+( x4 - x4 )+(2x-x) + (5+1)
= 2x7 + 2x2 + x +6