Câu hỏi
BIVN. Bü 1. Cho các da thic D(x)=5-4 x^3+2 x-x^3+x^2 [ Q(x)=4 x^3+6 x^2-5 x+15-9 x+2 ]
Giải pháp
4.7
(212 Phiếu)
Nguyễn Văn An
chuyên gia · Hướng dẫn 6 năm
Trả lời
1. \(P(x) = -5x^3 + x^2 + 2x + 5\)2. \(Q(x) = 4x^3 + 6x^2 - 14x + 17\)
Giải thích
The task involves simplifying two given polynomial expressions, \(P(x)\) and \(Q(x)\). 1. Simplifying \(P(x)\): \(P(x) = 5 - 4x^3 + 2x - x^3 + x^2\) To simplify, combine like terms: - Combine the
terms:
- Combine the
terms:
\( terms to combine with) - Combine the
terms:
(no other
terms to combine with) - The constant term5\) So, \(P(x) = -5x^3 + x^2 + 2x + 5\)2. Simplifying \(Q(x)\): \(Q(x) = 4x^3 + 6x^2 - 5x + 15 - 9x + 2\) To simplify, combine like terms: - Combine the
terms:
(no other
terms to combine with) - Combine the
terms:
(no other
terms to combine with) - Combine the
terms:
- Combine the constant terms:
So, \(Q(x) = 4x^3 + 6x^2 - 14x + 17\)These simplified forms are the final expressions for \(P(x)\) and \(Q(x)\).