`12x^2-7x+1`

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

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

A function h is defined as follows : for x gt 0, h(x)=x^(7)+2x^(5)-12x^(3)+15x-2 for x le0, h(x)=x^(6)-3x^(4)+2x^(2)-7x-5 What is the value of h(-1) ?

Solve: |[x^2-1, x^2+2x+1, 2x^2+3x+1], [2x^2+x-1, 2x^2+5x-3, 2x^2+4x-3], [6x^2-x-2, 6x^2-7x+2, 12x^2-5x-2]|=0.

Solve: |[x^2-1, x^2+2x+1, 2x^2+3x+1], [2x^2+x-1, 2x^2+5x-3, 2x^2+4x-3], [6x^2-x-2, 6x^2-7x+2, 12x^2-5x-2]|=0.

Solve: (dy)/(dx) = 1/(x^2 - 7x + 12)

A= {x//x^(2) -7x +12 =0}, B= {x//x^(2) -x-12=0}, then AnnB=

A= {x//x^(2) -7x +12 =0}, B= {x//x^(2) -x-12=0}, then AnnB=

Discuss the nature of the following quadratic equations without finding the roots i) x^(2)-12x+32=0 ii) 2x^(2)-7x+10=0 iii) 4x^(2)-20x+25=0 iv) 3x^(2)+7x+2=0

Discuss the nature of the following quadratic equations without finding the roots i) x^(2)-12x+32=0 ii) 2x^(2)-7x+10=0 iii) 4x^(2)-20x+25=0 iv) 3x^(2)+7x+2=0