" (ii) "x^(4)+x^(3)-7x^(2)-x+6

Using factor theorem,factorize the polynomial x^(4)+x^(3)-7x^(2)-x+6

Posible factors of x^(4)+x^(3)-7x^(2)-x+6 are

Let S_(r) denotes the sum of rth powers of the roots of x^(4)-x^(3)-7x^(2)+x+6= then

If alpha,beta,gamma,delta are the roots of x^(4)-x^(3)-7x^(2)+x+6=0 then alpha^(4)+beta^(4)+gamma^(4)+delta^(4)=

Obtain all zeros of the polynomial f(x)=2x^(4)-2x^(3)-7x^(2)+3x+6, if its two zeros are -sqrt((3)/(2)) and sqrt((3)/(2))

From the sum of 6x^(4) - 3x^(3) + 7x^(2) - 5x + 1 and -3x^(4) + 5x^(3) - 9x^(2) + 7x - 2 subtract 2x^(4) - 5x^(3) + 2x^(2) - 6x - 8

Subtract: 7x^(4)-5x^(3)+4x^(2)+3x-3 from 6x^(4)-4x^(3)-8x^(2)-2x+7