[" (i) "x^(2)-x," (ii) "3],[" (iv) "5x^(2)+6x+2," (v) "2x]

Factorize following expressions (i) x^(2)+3x-40" (ii)"x^2-3x-40" (iii)"x^(2)+5x-14 (iv) x^2-3x-4" (v)"x^2-3x-40" (vi)"3x^2-10x+8 (vii) 12x^2-x-35" (viii)"3x^2-5x-2" (ix)"3x^2-7x+4 (x) 7x^2-8x+1" (xi)"2x^2-17x+26" (xii)"3a^2-7a-6 (xiii) 14a^2+a-3

Find the remainder when x^(3)+3x^(2)+3x+1 is divided by : (i) x+1 " " (ii) x-(1)/(2) " " (iii) x " " (iv) x+pi " " (v) 5+2x

Find the remainder when x^(3)+3x^(2)+3x+1 is divided by : (i) x+1 " " (ii) x-(1)/(2) " " (iii) x " " (iv) x+pi " " (v) 5+2x

Which of the following are polynomials ? (i) x^(2)-3x+1 " " (ii) x^(2)+5x+2 " "(iii) x-(1)/(y) " " (iv) x^(7)+8 " " (v) x^(3)+sqrt(x)-2 (vi) sqrt(2)x^(2)+x-1 " " (vii) (3x-1)(x+5) " " (viii) (x-(3)/(x))(x+2) " " (ix)2x^(2)-1 (x) x+(1)/(sqrt(x))+2

Which of the following are polynomials ? (i) x^(2)-3x+1 " " (ii) x^(2)+5x+2 " "(iii) x-(1)/(y) " " (iv) x^(7)+8 " " (v) x^(3)+sqrt(x)-2 (vi) sqrt(2)x^(2)+x-1 " " (vii) (3x-1)(x+5) " " (viii) (x-(3)/(x))(x+2) " " (ix)2x^(2)-1 (x) x+(1)/(sqrt(x))+2

Separate monomial, binomial and trinomial from the following : (i) 2x-3 " " (ii) 3x^(2) " " (iii) 5x^(2)-8x+1 " " (iv) (2x+3)^(2) " "(v)-5x+1 " "(vi)6

Separate monomial, binomial and trinomial from the following : (i) 2x-3 " " (ii) 3x^(2) " " (iii) 5x^(2)-8x+1 " " (iv) (2x+3)^(2) " "(v)-5x+1 " "(vi)6

Find the nature of the roots of the following quadratic equations: (i) 2x^(2)-8x+5=0" "(ii)" "3x^(2)-2sqrt(6)x+2=0 (iii) 5x^(2)-4x+1=0" "(iv)" "5x(x-2)+6=0 (v) 12x^(2)-4sqrt(15)x+5=0" "(vi)" "x^(2)-x+2=0

Factories: (i) 12x^2-7x+1 (ii) 2x^2+7x+3 (iii) 6x^2+5x-6 (iv) 3x^2-x-4