`x^(3)-19x-30`

Factorise : x^(2)-19x-20

Find the roots of the equation x^(4)+x^(3)-19x^(2)-49x-30 , given that the roots are all rational numbers.

If alpha ,beta are the roots of the equation 9x^(2)-7x+6=0 then the equation whose roots are 3 alpha+2 , 3 beta+2 is - 1) 3x^(2)+19x-144=0 2) 3x^(2)-19x+144=0 3) 3x^(2)-19x+44=0 4) 3x^(2)-19x-44=0

Factorize the following by splitting the middle term: 3x^(2)+19x+30

x^(2)-19x+84

Find all zeros of the polynomial 2x^(4)+7x^(3)-19x^(2)-14x+30, if two of its zeros are sqrt(2) and -sqrt(2) .