class PolynomialTest$($unittest$.$TestCase$)$: def test$\_$term$\_$basic$($self$)$: t$=$Term$(7,8)$ self.assertEqual$($t$.$get$\_$next$(),$None$)$ t$1=$Term$(7,8)$ self.assertTrue$($t$==$t$1)$ t$2=$Term$(-7,8)$ self.assertFalse$($t$==$t$2)$ def test$\_$term$\_$str$($self$)$: constant $=$ Term$(5,0)$ self.assertEqual$(\text{'}5\text{'},$ str$($constant$))\_7$x$\_5=$ Term$(7,5)$ self.assertEqual$(\text{'}7$x$^5\text{'},$ str$(\_7$x$\_5))$ neg$\_7$x$\_5=$ Term$(-7,5)$ self.assertEqual$(\text{'}-7$x$^5\text{'},$ str$($neg$\_7$x$\_5))$ def test$\_$simple$($self$)$: p$1=$ Polynomial$()$ self.assertEqual$(\text{'}0\text{'},$ str$($p$1))$ p$2=$ Polynomial$([(1,2)])$ self.assertEqual$(\text{'}$x$^2\text{'},$ str$($p$2))$ p$3=$ Polynomial$([(1,0),(6,1),(5,2),(2,3)])$ self.assertEqual$(\text{'}2$x$^3+5$x$^2+6$x $+1\text{'},$ str$($p$3))$ def test$\_$order$($self$)$: p$1=$ Polynomial$([(1,2),(4,0)])$ self.assertEqual$(\text{'}$x$^2+4\text{'},$ str$($p$1))$ p$2=$ Polynomial$([(1,5),(0,2),(4,0),(-3,3),(1,1)])$ self.assertEqual$(\text{'}$x$^5-3$x$^3+$ x $+4\text{'},$ str$($p$2))$ p$3=$ Polynomial$([(0,2),(-4,3),(-5,6)])$ self.assertEqual$(\text{'}-5$x$^6-4$x$^3\text{'},$ str$($p$3))$ def test$\_$get$\_$first$($self$)$: p$1=$ Polynomial$([(1,2),(4,0)])$ self.assertEqual$($p$1.$get$\_$first$(),$Term$(1,2))$ p$2=$ Polynomial$([(-1,7),(-5,3),(4,2)])$ self.assertEqual$($p$2.$get$\_$first$(),$Term$(-1,7))$ def test$\_$zero$($self$)$: p$1=$ Polynomial$([(0,0)])$ self.assertTrue$($p$1.$iszero$())$ p$2=$ Polynomial$([(1,5),(0,2),(4,0),(3,3),(1,1)])$ self.assertFalse$($p$2.$iszero$())$ def test$\_$lowest$\_$term$($self$)$: p$1=$ Polynomial$([(0,0)])$ self.assertEqual$(0,$ p$1.$lowest$\_$term$())$ p$2=$ Polynomial$([(-1,7),(-5,3),(4,2)])$ self.assertEqual$(2,$ p$2.$lowest$\_$term$())$ def test$\_$degree$($self$)$: p$1=$ Polynomial$([(0,0)])$ self.assertEqual$(0,$ p$1.$degree$())$ p$2=$ Polynomial$([(-1,7),(-5,3),(4,2),(7,0)])$ self.assertEqual$(7,$ p$2.$degree$())$ def test$\_$collect$\_$terms$($self$)$: p$1=$ Polynomial$([(1,2),(-4,2)])$ self.assertEqual$(\text{'}-3$x$^2\text{'},$ str$($p$1))$ p$2=$ Polynomial$([(1,2),(0,2),(-4,0),(3,3),(-1,2),(-1,1),(5,3),(-8,3)])$ self.assertEqual$(\text{'}-$x $-4\text{'},$ str$($p$2))$ def test$\_$sub$($self$)$: p$0=$ Polynomial$()$ p$1=$ Polynomial$([(1,1)])$ p$2=$ Polynomial$([(1,5),(7,2),(3,3),(1,1),(4,0)])$ p$3=$ Polynomial$([(2,5),(-3,1)])$ self.assertEqual$(\text{'}-$x$\text{'},$ str$($p$0-$ p$1))$ self.assertEqual$(\text{'}2$x$^5-3$x$\text{'},$ str$($p$3-$p$0))$ self.assertEqual$(\text{'}-$x$^5-3$x$^3-7$x$^2-4\text{'},$ str$($p$1-$ p$2))$ self.assertEqual$(\text{'}$x$^5+3$x$^3+7$x$^2+4\text{'},$ str$($p$2-$ p$1))$ self.assertEqual$(\text{'}-$x$^5+3$x$^3+7$x$^2+4$x $+4\text{'},$ str$($p$2-$ p$3))$ self.assertEqual$(\text{'}$x$^5-3$x$^3-7$x$^2-4$x $-4\text{'},$ str$($p$3-$ p$2))$ def test$\_$multiplication$($self$)$: p$1=$ Polynomial$([(0,0)])$ p$2=$ Polynomial$([(1,0),(1,1)])$ self.assertEqual$(\text{'}0\text{'},$ str$($p$1*$ p$2))$ p$1=$ Polynomial$([(3,0)])$ p$2=$ Polynomial$([(1,5),(3,3),(0,2),(1,1),(4,0)])$ self.assertEqual$(\text{'}3$x$^5+9$x$^3+3$x $+12\text{'},$ str$($p$1*$ p$2))$