In the polynomial `x^2+k x+6`, what number must be taken as 'k' to get a polynomial for which 'x-1' is a factor? Find also the other factor of that polynomial.

In the polynomial kx^2+2 x-5 , 'what number must be taken as 'k', to get a polynomial for which 'x-1' is a factor?

In the polynomial x^2+a x+b , what numbers must be taken as a and 'b', to get a polynomial for which '(x-2)' and '(x-3)' as factors?

In each pair of polynomials given below, find the number to be subtracted from the first to get a polynomial for which the second is as factor. Find also the second factor of the polynomial got on subtracting the number:- x^2-4x-3,x-1 .

In each pair of polynomials given below, And the number to be subtracted from the first to get a polynomial for which the second is as factor. Find also the second factor of the polynomial got on subtracting the number:- x^2 +5x-7,x-1 .

In each pair of polynomials given below, And the number to be subtracted from the first to get a polynomial for which the second is as factor. Find also the second factor of the polynomial got on subtracting the number:- x^2-3x+5,x-4 .

In each pair of polynomials given below, And the number to be subtracted from the first to get a polynomial for which the second is as factor. Find also the second factor of the polynomial got on subtracting the number:- x^2-3x+5 , x+4 .

What number should be added to the polynomial p(x)=x^2+x-1 , so that '(x-2)' is a factor of the new polynomial?

Write the polynomial x^2-3 x+2 as the product of two first degree polynomials.

Which number added to the polynomial 3x^2-4x-1 gives a polynomial with (x-1) as a factor.

What number should be added to the polynomial x^3-2 x^2+x-4 to get (x-2) as a factor of the polynomial?