Find the least common multiple of the given terms?

Question

p^2-7p-30 & p^2+6p+9

Answer 1

It is too complicated of a problem to do by simply staring at it.  The first thing you need to do is factor each separate equation.

Use quadratic equation to find

p^2 - 7p - 30 = (p-10)(p+3)

Use quadratic equation to find

p^2 + 6p + 9 = (p + 3)(p+3)

Notice that each equation has a p+3 in it, so the least common (and only common) multiple is (p + 3)

Answer 2

To find the answer:

1) Simplify and solve each parenthetical:

p^2-7p-30 = (p-10)(p+3), so p=10 or -3

p^2+6p+9 = (p+3)(p+3), so p= -3

2) The least common multiple is the lowest number that can solve both equations.  In this case, the answer is -3.

Answer 3

do not confuse  the highest common factor  with the smallest multiple!!!

the right answer is:  (p-10)(p+7)(p+3)

Answer 4

(p + 3)²(p - 10)

Answer 5

(p-10)(p+7)(p+3)