What are some advantages of writing the polynomial expression -7x^2+32x+240 in factored form when interpreting this situation

Step-by-step explanation:

     The advantages of writing the polynomial expression

      -7 + 32x + 240 in factored form when interpreting this

      situation

      Factorizing the quadratic equation gives

       -7 + 32x + 240

        -7 +60x - 28x + 240

        x×(-7x + 60) -4 ×(-7x + 60)

        (x-4)×(-7x + 60)

        The roots of the equation 4,-60/7

        Advantages of writing the polynomial expression in factored

{x = -1/2 ,   y = -1

step-by-step explanation:

solve the following system:

{2 x + y = -2

{10 x - 3 y = -2

in the first equation, look to solve for y:

{2 x + y = -2

{10 x - 3 y = -2

subtract 2 x from both sides:

{y = -2 x - 2

{10 x - 3 y = -2

substitute y = -2 x - 2 into the second equation:

{y = -2 x - 2

{10 x - 3 (-2 x - 2) = -2

10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:

{y = -2 x - 2

{16 x + 6 = -2

in the second equation, look to solve for x:

{y = -2 x - 2

{16 x + 6 = -2

subtract 6 from both sides:

{y = -2 x - 2

{16 x = -8

divide both sides by 16:

{y = -2 x - 2

{x = -1/2

substitute x = -1/2 into the first equation:

{y = -1

{x = -1/2

collect results in alphabetical order:

answer:   {x = -1/2 ,   y = -1