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+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 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, 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 .

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 the polynomial p(x)=x^2+4x+k , upto what number can we take as k,so that p(x) can be factorized as a 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.

If (x-1) is a factor of the polynomial 5 x^3-4 x^2+x-k , what number is 'k' ?

Prove that the polynomial. x^2+4 x+5 cannot be written as a product of first degree polynomials.