Question

factor the trinomial completely
r^2-14r+33

Answer 1

find two numbers that multiply to 33 (last term) and add to -14 (middle coefficient)

Answer 2

i got (r+11)(r-3)

Answer 3

that is incorrect

Answer 4

notice how +11*(-3) = -33 but we should have +33

Answer 5

so both have to be addition

Answer 6

the two numbers both have to be negative (since negative times negative = positive)

Answer 7

they have to negative because the middle coefficient is something negative while the last term is positive

Answer 8

what two negative numbers multiply to 33 ?

Answer 9

11 and 3

Answer 10

I think you mean -11 and -3

Answer 11

so r^2-14r+33 factors to (r-11)(r-3)

Answer 12

notice how

-11*(-3) = +33

and

-11 + (-3) = -14