" 14."quad |x^(2)-4x|<5

Find the domain of the function defined as f(x) = (x^(2) + 14x + 9)/(x^(2) -4x + 3) , where x in R .

Find the domain of the function defined as f(x) = (x^(2) + 14x + 9)/(x^(2) -4x + 3) , where x in R .

Prove that sinfrac {pi}{14} is a root of the equation 8x^(3) -4x^(2) - 4x +1 = 0 .

Factorize each of the following algebraic expressions: a^(2)+14a+48(2)x^(2)-4x-21y^(2)+5y-36(4)(a^(2)-5a)^(2)-36(a+7)(a-10)+16

Prove that the equations 6x^(2) + xy -12y^(2)–14x + 47y -40 = 0 and 14x+ xy- 4y^(2)-30x +15y= 0 represents two pairs of concurrent lines and that lines of first pair are equally inclined to those of second pair.

if (5x^(2)+14x+2)^(2)-(4x^(2)-5x+7)^(2) is divided by x^(2)+x+1 ,then quotient q and remainder r are given by

If (5x^(2)+14x +2)^(2)-(4x^(2) -5x +7)^(2) is divided by x^(2)+x+1 , then what is the remainder?