Factorize: (i)`2x^2+5x+3` (ii) `6x^2+5x-6`

Factorize: (i) 6x^2-13 x+6 (ii) -2x^2-3x+2

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

For what value of x in R the following expressions are negative i) x^(2) - 5x - 6 ii) -7x^(2) + 8x - 9

Determine which of the following polynomial has x-2 a factor (i) 3x^(2)+6x-24 (ii) 4x^(2)+x-2

Solve : (i) 2x^(2)-5x+3=0 (ii) (x^(2)+3x)^(2)-(x^(2)+3x)-6=0, xepsilonR

Determine the nature of the roots of the following quadratic equations: (i) 2x^2-3x+5=0 (ii) 2x^2-6x+3=0 (iii) 3/5x^2-2/3x+1=0

Factorise : 3x^5 - 6x^4 - 2x^3 + 4x^2 + x-2

Factorize each of the following algebraic expressions: 3x+15 (ii) 2x^2+5x iii) 3x^2y-6x y^2 (iv) 6x^3+8x^2y

In the following, determine the set of values of k for which the given quadratic equation has real roots: (i) 2x^2-5x-k=0 (ii) k x^2+6x+1=0

Solve graphically and compare your answer with algebraic solution either by factorization or formula method: (i) y=x^(2)-5x+6 (ii) y=-x^(2)+2x+3 (iii) y=x^(2)-4x+4 (iv) y=x^(2)-x-6 (v) y=x^(2)-6x+9 (vi) y=-x^(2)-x+12 (vii) y=x^(2)-4x+5=0 (viii) y=x^(2)+2x+2=0 .