Question

8．多項(xiàng)式3x²y-7x⁴y²-$\frac{1}{3}$xy³+2⁷是六次四項(xiàng)式，最高次項(xiàng)是-7x⁴y²，按y的升冪排列為2⁷+3x²y-$\frac{1}{3}$xy³-7x⁴y²．

Answer 1

分析 找出多項(xiàng)式中最高次項(xiàng)即可；找出最高項(xiàng)的次數(shù)即可的答案；再按照y升冪排列即可．

解答 解：多項(xiàng)式3x²y-7x⁴y²-$\frac{1}{3}$xy³+2⁷的最高次項(xiàng)是-7x⁴y²；
最高次項(xiàng)的次數(shù)是6，故是六次四項(xiàng)式，
把多項(xiàng)式按字母y的升冪排列為2⁷+3x²y-$\frac{1}{3}$xy³-7x⁴y²，
故答案為：六，四；-7x⁴y²；2⁷+3x²y-$\frac{1}{3}$xy³-7x⁴y²．

點(diǎn)評(píng) 此題考查了多項(xiàng)式，解題的關(guān)鍵是弄清多項(xiàng)式次數(shù)是多項(xiàng)式中次數(shù)最高的項(xiàng)的次數(shù)．