Question

The solution set for -p^2 − 11p = 0 is

Answer 1

There are two solutions. If you factor a -p out of the equation, you can easily see this. (-p)(p + 11) = 0. The values of p that make this true are 0 and -11.

{0, -11}

Answer 2

the solution set is {0,-11}

Explanation:

The equation is
`-p^2-11p=0`

The GCF of the left hand side of the expression is -p. Hence, factored out the GCF

`-p(p+11)=0`

Now, apply the zero product property, we get

`-p=0,p+11=0`

Now, solve the equations for p

`p=0,p=-11`

Thus, the solution set is {0,-11}