Check whether '(x+2)' and '(x-5)' are factors of the polynomial `x^2+7 x+10`

Check whether (x-3) is a factor of the polynomial 2 x^3-x^2-3 x+4

Check whether x - 1 is a factor of 3x^3-2x^2-3x+2 .

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

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?

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?

Write the solution of polynomials p(x) = x^2-7x+12 .

Check whether h(x)=abs(1-x+absx) is continious at origin.

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.

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

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?