Derajat Polinom

MathematicsPolynomialsEasySTEM

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Derajat dari polinom $5x^4y^2 + xy^2 - 2x^5y^6$ adalah 11

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1
Step 1

Halo semuanya! Mari kita periksa pernyataan ini: apakah derajat dari polinom lima x pangkat empat y kuadrat, ditambah x y kuadrat, dikurang dua x pangkat lima y pangkat enam benar-benar sebelas?

Menentukan Derajat Polinom

$$P(x,y) = 5x^4y^2 + xy^2 - 2x^5y^6$$
2
Step 2

Ingat bahwa derajat dari suatu polinom dengan banyak variabel didefinisikan sebagai derajat tertinggi di antara suku-sukunya. Mari kita hitung derajat setiap suku satu per satu.


SukuPerhitungan DerajatDerajat
$5x^4y^2$$4 + 2$$6$
$xy^2$$1 + 2$$3$
$2x^5y^6$$5 + 6$$11$
3
Step 3

Suku pertama memiliki derajat enam. Suku kedua memiliki derajat tiga. Dan suku terakhir memiliki derajat sebelas.

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About This Question

Subject
Mathematics
Topic
Polynomials
Difficulty
Easy
Exam
STEM
Question Type
True or False

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