[" 5."3(a+b)^(2)-5(a+b)+2],[" 7."14x^(2)+19x-3]

…………is one of the factors of 2x^(4) + x^(3) - 14 x^(2) - 19x - 6 .

The roots of x^(4) - 5x^(3) + 3x^(2) + 19x - 30 = 0 are

Factorize :2x^(4)+x^(3)-14x^(2)-19x-6

Find the quotient and remainder for the following using synthetic division : ( 8 x^(3) - 14x^(2) - 19x - 8) div ( 4x + 3)

Subtract: (i) 5a + 7b - 2c from 3a - 7b + 4c (ii) a - 2b - 3c from -2a + 5b - 4c (iii) 5x^(2) - 3xy + y^(2) from 7x^(2) - 2xy - 4y^(2) (iv) 6x^(3) - 7x^(2) + 5x - 3 from 4 - 5x + 6x^(2) - 8x^(3) (v) x^(3) + 2x^(2) y + 6xy^(2) - y^(3) from y^(3) - 3xy^(2) - 4x^(2) (vi) -11 x^(2) y^(2) + 7xy - 6 from 9x^(2) y^(2) - 6xy + 9 (vii) -2a + b + 6d from 5a - 2b - 3c

If ( x + a) ( x + b ) (x + c ) = x^(3) + 14x^(2) + 59x + 70 , find the value of a^(2) + b^(2) + c^(2)

One root of the following given equation x^(5)-14x^(4)+31x^(3)-64x^(2)+19x+130=0

Obtain all zeros of the polynomial f(x)=2x^(4)+x^(3)-14x^(2)-19x-6, if two of its zeros are -2 and 1