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 polynomials (i) 2x -3 (ii) x ^(2) - 5x +6 (iii) x +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

Find the degree of each of the polynomials given below (i) x ^(5) - x ^(4) +3 (ii) x ^(2) + x -5 (iii) 5 (iv) 3x ^(6) + 6y ^(3) -7 (v) 4- y ^(2) (vi) 5t - sqrt3

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

Determine which of the following polynomials has (x +1) as a factor. (i) x ^(3) -x ^(2) -x +1 (ii) x ^(4) - x ^(3) + x ^(2) -x +1 (iii) x ^(4) + 2x ^(3) + 2x ^(2) + x +1 (iv) x ^(3) -x ^(2) - (3- sqrt3) x + sqrt3

Find the value of each of the following polynomials for the indicated value of variables: (i) p(x) = 4x ^(2) - 3x + 7 at x =1 (ii) q (y) = 2y ^(3) - 4y + sqrt11 at y =1 (iii) r (t) = 4t ^(4) + 3t ^(3) -t ^(2) + 6 at t =p, t in R (iv) s (z) = z ^(3) -1 at z =1 (v) p (x) = 3x ^(2) + 5x -7 at x =1 (vi) q (z) = 5z ^(3) - 4z + sqrt2 at z =2

Which of the following expressions are polynomials ? Which are not? Give reasons. (i) 4x ^(2) + 5x -2 (ii) y ^(2) -8 (iii)5 (iv) 2x ^(2) + (3)/(x) -5 (v) sqrt3x ^(2) + 5y (vi 1/x + 1 (x ne 0) (vii) sqrtx (viii) 3 xyz

The degree of the polynomial 6x^5 + 4x^3 + 2x - 1 is

The degree of the polynomial 7x^5 + 5x^9 + 3x^2 + 4x + 1 is

Classify the following as linear, quadratic and cubic polynomials (i) 5x ^(2) + x-7 (ii) x -x ^(3) (iii) x ^(2) + x + 4 (iv) x -1 (v) 3p (vi) pi r ^(2)