Find the values of a and b so that `2x^(3)+ax^(2)+bx-14` has (x-1) and (x+2) are its factors.

Find the values of a and b so that (2x^(3)+ax^(2)+x+b) has (x+2) and (2x-1) 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.

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 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-a x^2-13 x+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.

Find the values of a and b so that (x+1) and (x-1) are factors of x^(4)ax^(3)-3x^(2)+2x+b

Find the values of a and b if x^(2)-4 is a factor of ax^(4)+2x^(3)-3x^(2)+bx-4 and hence factorise it completely.

If the polynomial f(x) = 2x^3 + mx^2 + nx - 14 has (x - 1) and (x + 2) as its factors, find the value of m x n.