Write the coefficient of
(i) x in 13x
(ii) y in - 5y
(iii) a in 6ab
(iv) z in - 7xz
(v) p in - 2 pqr
(vi) `y^(2)` in `8xy^(2)z`
(vii) `x^(3)` in `x^(3)`
(viii) `x^(2)` in `-x^(2)`

Write the coefficient of x^2 in the following: (i) -3x^2 (ii) 5x^2y z

Write the numerical coefficient of (i) ab (ii) -6bc (iii) 7xyz (iv) -2x^(3) y^(2) z

Write the coefficient of x^2 in the following: (i) 5/7x^2z (ii) -3/2a x^2+y x

Write the constant term of (i) 3x^(2) + 5x + 8 (ii) 2x^(2) - 9 (iii) 4y^(2) - 5y + (3)/(5) (iv) z^(3) - 2z^(2) + z - (8)/(3)

Given x = 2 - 3i and y = 4 + i . Find (i) xy " "(ii) x + y " " (iii) x - y " "(iv) x/y " " (v) (barx)/y " "(vi) (x-y)^(2)

Find the degree of each of the following polynomials : (i) 3x^(4)-x^(2)+8 " " (ii) y^(2)-5y+7 " " (iii) 3x+4 " " (iv) 3 (v) x-2x^(2)+5x^(7) " " (vi) 2y^(2)-5y^(6)+1 " "(vii) x^(3)-1 " " (viii) 3x+5x^(5)+1

Find the degree of each of the following polynomials : (i) 3x^(4)-x^(2)+8 " " (ii) y^(2)-5y+7 " " (iii) 3x+4 " " (iv) 3 (v) x-2x^(2)+5x^(7) " " (vi) 2y^(2)-5y^(6)+1 " "(vii) x^(3)-1 " " (viii) 3x+5x^(5)+1

Find each of the following products: (i) (x + 3) (x - 3) (ii) (2x + 5)(2x - 5) (ii) (8 + x)(8 - x) (iv) (7x + 11y) (7x - 11y) (v) (5x^(2) + (3)/(4) y^(2)) (5x^(2) - (3)/(4) y^(2)) (vi) ((4x)/(5) - (5y)/(3)) ((4x)/(5) + (5y)/(3)) (vii) (x + (1)/(x)) (x - (1)/(x)) (viii) ((1)/(x) + (1)/(y)) ((1)/(x) - (1)/(y)) (ix) (2a + (3)/(b)) (2a - (3)/(b))

Add: (i) 3x, 7x (ii) 7y, -9y (iii) 2xy, 5xy, -xy (iv) 3x, 2y (v) 2x^(2), -3x^(2), 7x^(2) (vi) 7xyz, -5xyz, 9xyz, - 8xyz (vii) 6a^(3) , - 4a^(3), 10 a^(3), - 8a^(3) (viii) x^(2) - a^(2), -5x^(2) + 2a^(2), -4x^(2) + 4a^(2)

Subtract: (i) 5a + 7b - 2c from 3a - 7b + 4c (ii) a - 2b - 3c from -2a + 5b - 4c (iii) 5x^(2) - 3xy + y^(2) from 7x^(2) - 2xy - 4y^(2) (iv) 6x^(3) - 7x^(2) + 5x - 3 from 4 - 5x + 6x^(2) - 8x^(3) (v) x^(3) + 2x^(2) y + 6xy^(2) - y^(3) from y^(3) - 3xy^(2) - 4x^(2) (vi) -11 x^(2) y^(2) + 7xy - 6 from 9x^(2) y^(2) - 6xy + 9 (vii) -2a + b + 6d from 5a - 2b - 3c