Question

x² + 5x - 36
Which binomial is a factor of the polynomial?

Answer 1

Hint: find two numbers that multiply to -36 and add to 5

Answer 2

i cant figure it out

Answer 3

i thought it was (x+6) but thats not it

Answer 4

list out the possible ways to factor -36

Answer 5

add up each factor pair and see which result gives you 5

Answer 6

and how would i find the factor pair

Answer 7

for instance, one way to factor -36 is to write it as -2*18

notice how -2 + 18 = 16

so the two numbers aren't -2 and 18

so you have to keep looking

Answer 8

36 = -3*12

-3 + 12 = 9

so that doesn't work either

Answer 9

you keep going until you have a pair that add to 5 or until you've checked every pair

Answer 10

only other one i can think of is 6*6

Answer 11

6 + 6 = 12, so that doesn't work

-6 + 6 = 0, that doesn't work

Answer 12

what else haven't you tried

Answer 13

4*9

Answer 14

which one is negative

Answer 15

-4

Answer 16

-4*9 = -36

-4 + 9 = 5

both work

Answer 17

this means

x^2 + 5x - 36

factors to

(x - 4)(x + 9)

Answer 18

ohhh ok thank you so much

Answer 19

yw