x^(4)-2x^(2)-63<=0

Using factor theorem,factorize each of the following polynomials: 2x^(4)-7x^(3)-13x^(2)+63x-45

A(4,0),B(-4,0) are two points.The locus of P which moves such that |PA-PB|=6 is (i)9x^(2)-7y^(2)+63=0 (ii) 9x^(2)+7y^(2)-63=0( iii) 9x^(2)+7y^(2)+63=0 (iv) 9x^(2)-7y^(2)-63=0

The equation of the hyperbola with centre at the origin the length of transverse axis 6 and one focus is (0,4) is (i) 9x^(2) - 7y^(2) = 63 (ii) 7y^(2) - 9x^(2) = 63 (iii) 9y^(2) - 7x ^(2) = 63 (iv) 7x^(2)-9y^(2)=63

Given that,for all real x,the expression x^(2)+2x+4x^(2)-2x+4 values between which the expression (9.3^(2x)+6.3^(x)+4)/(9.3^(2x)-6.3^(x)+4) lies are

factors of (2x^(2)-3x-2)(2x^(2)-3x)-63 are:

If one root of 24x^(3) - 14x^(2) - 63x + 45 = 0 is the double the other then the roots are