Solve by factoring.
p squared minus 4 p equals 21
(1 point)
Responses
p equals one fourth or 21
Image with alt text: p equals one fourth or 21
p equals 3 or 7
Image with alt text: p equals 3 or 7
p equals negative 3 or 7
Image with alt text: p equals negative 3 or 7
p equals 3 or negative 7
To solve the equation by factoring:
p^2 - 4p = 21
p^2 - 4p - 21 = 0
Now we need to factor the quadratic equation:
(p - 7)(p + 3) = 0
Setting each factor to zero:
p - 7 = 0
p = 7
p + 3 = 0
p = -3
So the solutions are p = 7 and p = -3.