Find the value of x if ` ^(4x-2)P_2=6`

Find value of x where .^(4-x)P_(2)=6

Find the value of x if , |{:(2,4),(5,1):}|=|{:(2x,4),(6,x):}|

Find the value of k if p(x)=x^(2)+kx+6andp(2)=0 .

Find the value of k if (x - 2) is a factor of the polynomial (2x^(5)-6x^(4)-2kx^(3)+6kx^(2)+4kx+8) .

If f(x) = 2x^(3)-3x^(2)+ 4x - 2 , find the value of f'(-2) .

If f(x) = (6-4x)/(1+2x+2x^(2)) find f'(x) . Also find the value of x for which f'(x) = 0 .

Find the value of a if (1 - 2x) is a factor of the polynomial (2x^(4)-ax^(3)+4x^(2)+2x+1) .

If x= 2^(2/3)+2^(1/3) , find the value of (x^3-6x) .

If xsqrt2=1+sqrt-1, "find the value of " x^(6)+x^(4)+x^(2)+2.

If (1+x-2x^(2))^(6) = 1 + a_(1)x+a_(2)x^(2) + "……" + a_(12)x^(12) , then find the value of a_(2) + a_(4) +a_(6)+ "……" + a_(12) .