Find the value of `a` such that `(x-4)` is a factor of `5x^3-7x^2-a x-28`

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

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

Find the value of a, if x -2 is a factor of 2x^5- 6x^4 -2ax^3+ 6ax^2+ 4ax + 8.

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

Find the value of 'k' if : (i) x+5, is a factor of 2x^(3)+kx^(2)-11x-30 " " (ii) 2x-1 , is a factor of 2x^(3)-7x^(2)+11x-7+k

Using the Factor theorem, show that (i) (x-2) is a factor of x^(3)-2x^(2)-9x+18 . Hence factorise the expression x^2-2x^2-9x+18 completely. (ii) (x+5) is a factor of 2x^3+5x^2-28x-15 . Hence factorise the expression 2x^3+5x^2-28x-15 completely. (iii) (3x+2) is a factor of 3x^(3)+2x^(2)-3x-2 . Hence factorise the expression 3x^3+2x^2-3x-2 completely.

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

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