Is the polynomial `2 x ^(2) + 3 xy + 5y ^(2)` in one variable ?

If (x + 2y) be a factor of the polynomial (x^(2)+4xy+4y^(2)) , find the other factor.

find the value of p from the polynomial x^2+3x+p if one of the zeroes of the polynomial is 2

If one of the factors of the polynomial p(x)=x^(4)+x^(2)-20 be (x^(2)+5) , then the other factor is

Which of the following expressions are polynomials in one variable and which are not ? Give reasons for you answer. (i) 3x ^(2) - 2x + 5 (ii) x ^(2) + sqrt2 (iii) p^(2) - 3p +q (iv) y + (2)/(y) (y ne 0) (v) 5 sqrtx + x sqrt5 (vi) x ^(100) + y ^(100)

Write the degree of each of the following polynomials (i) 7x ^(3) + 5x ^(2) + 2x -6 (ii) 7-x + 3x ^(2) (iii) 5p- sqrt3 (iv) 2 (v) - 5xy ^(2)

(x^(2) y^(3) + 2xy) dy = dx

Multiply: 2/3 x^2y xx 3/5 xy^2

The roots of the equation of the polynomial p(x,y)=x^(2)+y^(2) are-

Coordinates of points on curve 5x^(2) - 6xy +5y^(2) - 4 = 0 which are nearest to origin are

Consider a pair of perpendicular straight lines ax^(2)+3xy-2y^(2)-5x+5y+c=0 . then the value of c is