Find the value of `a` and `b` so that the polynomial `x^3-a x^2-13 x+b` has `(x-1)` and `(x+3)` as factors.

Find the value of a and b so that the polynomial x^3-ax^2-13x+b has (x-1) and (x+3)as factor.

Find the value of a and b so that the polynomial x^(3)-ax^(2)-13x+b has (x-1) and (x+3) as factors.

Find the values of 'a' and ''b so that the polynomial x^3+ax^2+bx-45 has (x-1) and (x+5) as its factors. For the value sof 'a' and 'b', as obtained above, factorise the given polynomial completely.

The values of a and b so that the polynomial x^(3)-ax^(2)-13x+b has (x-1) and (x+3) as factors respectively are

Find the values of a and b so that the polynomial x^3+10 x^2+a x+b is exactly divisible by x-1 as well as x-2.

Find the value of a and b so that the polynomial x^(3)+10x^(2)+ax+b is exactly divisible by (x-1) and (x-2).

Find the values of a and b such that the polynomial x^4+x^3+8x^2+ax+b is divisible by x^2+1 .

find the values of a and b so that the polynomial f(x)=3x^(3)+ax^(2)-13x+b is divisible by x^(2)-2x-3

Find the values of a and b so that the polynomial x^3+10 x^2+ax+b is exactly divisible by x-1 as well as x-2.

Find the values of a and b so that the polynomial (x^(3)-10x^(2)+ax+b) is exactly divisible by (x -1) as well as (x -2).