factor

Question

p squared minus 4 p equals 21

Answer 1

To factor the equation p^2 - 4p = 21, we can first rearrange it to be in the form of p^2 - 4p - 21 = 0.

Next, we can factor this quadratic equation by finding two numbers that multiply to -21 and add up to -4. The numbers -7 and 3 fit these criteria, so we can rewrite the equation as:

(p - 7)(p + 3) = 0

Therefore, the factored form of the equation p^2 - 4p = 21 is (p - 7)(p + 3) = 0.