`6x^(2)+5x-6`

Are the sets A={4,5,6} and B={x:x^(2) - 5x -6=0} disjoint?

The quadratic polynomial, the sum of whose zeroes is -5 and their product is 6,is (a) x^(2)+5x+6 (b) x^(2)-5x+6 (c) x^(2)-5x-6 (d) -x^(2)+5x+6

Consider following statements and identify correct options (i) lim_(x rarr4)((2x)/(x-2)-(8)/(x-4))=lim_(x rarr4)((2x)/(x-4))-lim_(x rarr4)((8)/(x-4)) (ii) lim_(x rarr1)((x^(2)+6x-7)/(x^(2)+5x-6))=(lim_(x rarr1)(x^(2)+6x-7))/(lim_(x rarr1)(x^(2)+5x-6))

COnsider the following statements and identify the correct options ( i ) lim_(x rarr4)((2x)/(x-4)-(8)/(x-4))=lim_(x rarr4)(2x)/(x-4)-lim_(x rarr4)(8)/(x-4) (ii) lim_(x rarr1)(x^(2)+6x-7)/(x^(2)+5x-6)=(lim_(x rarr1)(x^(2)+6x-7))/(lim_(x rarr1)(x^(2)+5x-6))

Factorize 6x^(4) - 5x^(3) - 38x^(2) -5x +6

Solve (x^2-x+6)/(x^2+5x-6) le 0