Giả sử coi 6x2  5x + 1 như là một đơn thức A
Hãy tính (x-2).A, sau đó thay A = 6x2 -5x + 1, rồi thực hiện tiếp.
(x  2)(6x2  5x + 1)
= x(6x25x+1)2(6x25x +1).
= x.6x2+x(-5x)+ x.1+(-2).6x2 +(-2)(-5x)+(2).1
= 6x35x2+x12x2+10x 2
= 6x3  17x2 + 11x  2
Giải:
1. Quy tắc :
a) Ví dụ : Nhân đa thức x2 với đa thức (6x25x+1)
Giải
(x  2)(6x2  5x + 1)
= x(6x25x+1)2(6x25x +1).
= x.6x2+x(-5x)+ x.1+(-2).6x2+(-2)(-5x)+(2).1
= 6x35x2+x12x2+10x 2
= 6x3  17x2 + 11x  2
b) Quy tắc: (sgk)
(A+B)(C+D)
+ + +
=A.C A.D B.C B.D
Với A, B, C, D là các đơn thức, ta có:
Nhận xét: Tích của hai đa thức là một đa thức.
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* Chú ý : sgk
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