Find the value of a for which (x-4) is a factor of `(2x^(3)-3x^(2)-18x+a)`.

Find the value of k for which ( x-1) is a factor of (2x^(3)+9x^(2)+x+k) .

Find the value of a for which (x +1 ) is a factor of (ax^(3)+x^(2)-2x+4a-9) .

Find the value of a for which ( x+2a) is a factor of (x^(5)-4a^(2)x^(3)+2x+2a+3) .

Find the value of m for which (2x-1) is a factor of (8x^(4)+4x^(3)-16x^2+10x+m) .

Find the value of a, if x+2 is a factor of 4x^(4)+2x^(3)-3x^(2)+8x+5a

Find the value of k, if (x-1) is a factor of 4x^(3)+ 3x^(2)-4x+k .

Find the value of a, if(x-a) is a factor of x^3-a^2x+x+2

Find the value of a , if x-a is a factor of x^3-a^2x+x+2

Find the value of 'a', if (x - a) is a factor of x^(3)-ax^2+x+2 .

Find the value of p for which x+1 is a factor of x^4+(p-3)x^3-(3p-5)x^2+(2p-9)x+6. Find the remaining factor for this value of pdot