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 coefficient of x^(3) in each of the following 2x^(3)+5

Write the coefficient of x^(3) in each of the following 2x^(3)+5

Write the coefficient of x^(3) in each of the following -2/3x^(3)

Write the coefficient of x^(3) in each of the following sqrt(2)x^(3)+5

Write the coefficient of x ^(3) in each of the following (i) x ^(3) + x +1 (ii) 2- x ^(3) + x ^(2) (iii) sqrt2 x ^(3) + 5 (iv) 2x ^(3) +5 (v) pi/2 x ^(3) +x (vi) - 2/3 x ^(3) (vii) 2x ^(2) +5 (viii) 4

The coefficient of x^2 in sqrt2x^2+5x-1 is

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)

The coefficient of x^5 in (2-x +3x^2)^6 is

The coefficient of x^(3) in log(1-5x+6x^(2)) is

Use the Factor Theorem to determine whether g (x) is factor of f(x) in each of the following cases: (i) f (x) = 5x ^(3) + x ^(2)-5x -1, g (x)=x +1 (ii) f (x) = x ^(3) + 3x ^(2) + 3x +1 , g(x) =x +1 (iii) f (x) =x ^(3) - 4x ^(2) +x + 6, g (x) =x -2 (iv) f (x) = 3x ^(3) - 20x + 12, g (x) = 3x -2 (v) f (x) = 4x ^(3) + 20 x ^(2) + 33 x +18, g (x) =2x +3