Write the coefficient of `x ^(2)` in each of the following br> `(i) 15 - 3x + 2x ^(2) `
(ii) `1- x^(2)`
(iii) `pi x ^(2) - 3x + 5`
(iv)` sqrt2 x ^(2) + 5x -1`

Write the coefficients of x^2 in each of the following: (i) 2+x^2+x (ii) 2-x^2+x^3 (iii) pi/2-x^2+x^3 (iv) sqrt2x-1

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)

Find zeroes of the following polynomals (i) 2x -3 (ii) x ^(2) - 5x +6 (iii) x +5

Divide the polynomial p(x) by the polynomial g(x) and find the quotient and remainder in each of the following : i] p(x) = x^(3) - 3x^(2) + 5x - 3, g(x) = x^(2) - 2 ii] p(x) = x^(4) - 3x^(2) + 4x + 5, g(x) = x^(2) + 1 - x iii] p (x) = x^(4) - 5 x + 6 g(x) = 2 - x^(2)

Write the degree of each of the following polynomials : (i) 5x^3 +4x^2+7x (ii) 4-y^2 (iii) 5t-sqrt7 (iv) 3

The coefficient of x^(3) in the expansion of (1-x+x^(2))^(5) is

Find the value of the polynomial 4x ^(2) - 5x +3, at (i) x =0 (ii) x =-1 (iii) x =2 (iv) x = 1/2