algebraic definition of division

Summary - i) An expression of the form a 0 x n + a 1 x n - 1 +....+ a n = 0, where n is a positive integer and a 0 , a 1 ,...,a n belong to some number system F, is called a polynomial in the variable x over F. ii) The degree of polynomial is defined as the highest index of the variable x..

- An ellipse can also be defined as the locus of a point that moves in such a way that the sum of its distances from two fixed points (called foci) is constant . Equation of an ellipse in standard form [x 2 /a 2 ]+[y 2 /b 2 ]=1 Let x'ox and yoy' be the co-ordinate axes.Let F(c,o) and f'(-..

The arrow diagram represents a relation from set A to set B. (i) Represent the relation in roster form. (ii) Is this relation a function? Give reason for your answer. (i) {(1, 2), (2, 4), (5, 2), (3, 10), (4, 10)} (ii) Yes it is a function. Every first element is mapped and it is many-one. T..

Question: Solve the following equation: 3(x-1)=8 Answer: 3(x-1)=8 3x-3=8 3x=8+3 3x=11 ..

Question: Solve the following equation: Answer: 2(3x-19)=10 3x-19 = 5 3x=5+19 3x=24 x=..

Question: Solve the following equation: Answer: -58y-232 = -108y+18 -58y+108y = 18+232 50y=250 y=..

Question: Draw the graph of y=3. Answer: The graph of y = 3 is a line parallel to the x-axis. ..

Question: Draw the graph of x+4=0. Answer: ..

Question: Which of the following equations have x=2, y=3 as solution ? (a) 8x-y = 12 (b) 2x+3y = 10 Answer: (a) Substitute x=2, y=3 in 8x-y=12 8(2)-3=12 16-3=12 x=2, y=3 is not a solution of 8x-y=12 (b) Substitute x=2, y=3 in 2x+3y=10 2(2)+3(3)=10 4+9=10 x=2, y=3 is not a solution o..

Question: Solve the following equation: 7x+5=3x-25 Answer: ..