多項(xiàng)式-x3+xy+y3-3是________次________項(xiàng)式,二次項(xiàng)系數(shù)為________,常數(shù)項(xiàng)為________,三次項(xiàng)系數(shù)的和為________.
三 四 1 -3 0
分析:根據(jù)多項(xiàng)式的項(xiàng)的系數(shù)和次數(shù)定義,可知多項(xiàng)式-x3+xy+y3-3的項(xiàng)是-x3,xy,y3,-3共四項(xiàng),其最高次項(xiàng)的次數(shù)為三,二次項(xiàng)xy的系數(shù)為1,常數(shù)項(xiàng)為-3,三次項(xiàng)的系數(shù)包含了系數(shù)前的符號.
解答:多項(xiàng)式-x3+xy+y3-3是三次四項(xiàng)式,二次項(xiàng)系數(shù)為1,常數(shù)項(xiàng)為-3,三次項(xiàng)系數(shù)的和為0.
故答案為三,四,1,-3,0.
點(diǎn)評:本題考查了同學(xué)們對多項(xiàng)式的項(xiàng)的系數(shù)和次數(shù)定義的掌握情況.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).