Question

X^2+11x+24= (x+m)(X+r)
compare the relationship
Quantity A: m+r
Quantity B: (m)(R)

Answer 1

Factor the quadratic trinomial into the form (x+m)(x+r) to see what 'm' and 'r' are.

Answer 2

can you factor
\[ x^2+11x+24\]
?

I would list the factor pairs of 24:
1,24
2,12
3,8
4,6

the + on the 24 means the factors will have the same sign
the +11 (from +11x) means the bigger factor is positive.
together this means the factors are both positive.

Look at each factor pair of 24 , and look for a pair that adds up to 11. Those are the factors.