" (i) "x^(3)+2x^(2)-6x+3

Verify that the numbers given alongside the cubic polynomials below are their zeros. Also verify the relationship between the zeros and the coefficients. (i) x^(3) - 2x^(2) - 5x +6, -2,1,3 , (ii) 2x^(3) + 7x^(2) + 2x-3, 3,-1, 1/2

Which of the following statements includes a function divisible by 2x+1? I. f(x)=8x^(2)-2 II. g(x)=2x^(2)-9x+4 III. h(x)=4x^(3)+2x^(2)-6x-3

The coefficient of x^(2) and x in 2x^(3) -5x^(2)+ 6x-3 are respectively ………………….

Add the following expressions: 3x^(3)+2x^(2)-6x+3, 2x^(3)-3x^(2)-x-4, 1+2x-3x^(2)-4x^(3)

Find the nature of the roots of the following quadratic equations. If the real roots exits, find them : (1) 2x^(2)-3x+5=0 (2) 3x^(2)-4sqrt(3)x+4=0 (3) 2x^(2)-6x+3=0

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

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

factorise (i) 2x^(3)-3x^(2)-17x+30 (ii) x^(3) -6x^(2)+11x-6 (iii) x^(3)+x^(2)-4x-4 (iv) 3x^(2)-x^(2)-3x+1

If "log"_(x+2) (x^(3)-3x^(2)-6x +8) =3 , then x equals to