" (ii) "x^(4)-8x^(3)+23x^(2)-28x+12;1,2

Statement 1: The function f(x)=x^(4)-8x^(3)+22x^(2)-24x+21 is decreasing for every x in(-oo,1)uu(2,3) Statement 2:f(x) is increasing for x in(1,2)uu(3,oo) and has no point of inflection.

If x=(1)/(2)(5-3i), then find the value of x^(4)-x^(3)-12x^(2)+23x+12

What must be subtracted or added to p(x) = 8x^(4) + 14x^(3)-2x^(2) + 8x -12 so that 4x^(2) + 3x - 2 is a factor of p(x)?

Find both the maximum and the minimum value of 3x^(4)-8x^(3)+12x^(2)-48x+1 on the interval [1,4] .

If x=1+sqrt""2+sqrt""3 , then the value of 2x^(4)-8x^(3)-5x^(2)+26x-28 is :

Divide the following polynomial p(x) by polynomial s(x) p(x)=2x^(3)-13x^(2)+23x-12,s(x)=2x-3

Find the quotient and remainder of the following. (i) (4x^(3) + 6x^(2) -23x + 18) + (x+3) (ii) (8y^(3) -16y^(2) +16y -15)+( 2y-1) (iii) ( 8x^(3) -1)+( 2x-1) (iv ) (-18z +14z^(2) +24z^(3) + 18) +( 3z+4)