Write the second degree polynomial $p\left(x\right)=x^2+13x+12$ as the product of two first degree polynomials. Find also the solutions of the equation $p\left(x\right)=0$.

Write the second degree polynomial $p\left(x\right)=x^2+12x-13$ as the product of two first degree polynomials. Find also the solutions of the equation $p\left(x\right)=0$.

Write the second degree polynomial $p\left(x\right)=x^2-12x-13$ as the product of two first degree polynomials. Find also the solutions of the equation $p\left(x\right)=0$.

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

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

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

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

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

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