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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 ]

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
]
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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 ]

expert verifiedXác minh chuyên gia

Giải pháp

4.7(212 phiếu bầu)
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Nguyễn Văn Anchuyên gia · Hướng dẫn 6 năm

Trả lời

<br />1. \(P(x) = -5x^3 + x^2 + 2x + 5\)<br />2. \(Q(x) = 4x^3 + 6x^2 - 14x + 17\)

Giải thích

The task involves simplifying two given polynomial expressions, \(P(x)\) and \(Q(x)\). <br /><br />1. Simplifying \(P(x)\): <br /> \(P(x) = 5 - 4x^3 + 2x - x^3 + x^2\)<br /> To simplify, combine like terms:<br /> - Combine the \(x^3\) terms: \(-4x^3 - x^3 = -5x^3\)<br /> - Combine the \(x^2\) terms: \(x^2\) \( terms to combine with)<br /> - Combine the \(x\) terms: \(2x\) (no other \(x\) terms to combine with)<br /> - The constant term5\)<br /> So, \(P(x) = -5x^3 + x^2 + 2x + 5\)<br /><br />2. Simplifying \(Q(x)\): <br /> \(Q(x) = 4x^3 + 6x^2 - 5x + 15 - 9x + 2\)<br /> To simplify, combine like terms:<br /> - Combine the \(x^3\) terms: \(4x^3\) (no other \(x^3\) terms to combine with)<br /> - Combine the \(x^2\) terms: \(6x^2\) (no other \(x^2\) terms to combine with)<br /> - Combine the \(x\) terms: \(-5x - 9 -14x\)<br /> - Combine the constant terms: \(15 + 2 = 17\)<br /> So, \(Q(x) = 4x^3 + 6x^2 - 14x + 17\)<br /><br />These simplified forms are the final expressions for \(P(x)\) and \(Q(x)\).