`12x^(2)-7x+1`

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) ?

lim_(x rarr1)(x^(2)-7x+12)/(x^(2)+4-3x-4)

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

Without actual division , prove that (2x^(4)+3x^(3)-12x^(2)-7x+6) is exactly divisible by (x^(2)+x-6) .

I. 10x^(2) - 7x + 1= 0" " II. 35y^(2) - 12y + 1 = 0

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