Question

z2 + 5z – 36 = (z – 4)(z + )

Answer 1

what you need help with ?

Answer 2

after the last z its a blank and its asking for a number i guess to make it equivalent

Answer 3

It will be 9 in the blank

Answer 4

positive? haha and how did you figure that out?

Answer 5

z2 + 5z – 36
We will break the middle term
z^2+9z-4z-36
z(z+9)-4(z+9)
(x-4)(z+9)
See this you'll understand :)

Answer 6

Yes positive 9 :D

Answer 7

z2 + 4z – 45 = (z – 5)(z + )
what about this one?

Answer 8

Do you have how to break the middle term?

Answer 9

no i don't i'm still confused sorry.

Answer 10

LOL okay I'll explain you :)

Answer 11

See to break the middle term we should 2 numbers. When we add those numbers it becomes the middle term and when we multiply them it becomes the last term for example
x^2+8x+7=0
Here we will break the middle term 1 and 7 will be the numbers
x^2+1x+7x+7=0
So if we add 7+1 it becomes 8 i mean the middle term and when we multiply them it becomes the last term that is 7
Got it what I explained? :)
If no then just lemme know I'll explain it again :)

Answer 12

um okay but where do you get the 1?

Answer 13

z2 + 5z – 36
See this question here I will break the middle term by numbers that are -4 and 9
so when we add them they become 5 and when I multiply them they become -36
Got it?

Answer 14

no because i dont understand how to get the numbers like -4 and 9?

Answer 15

Ohh listen see need to do this by our own mind :/

Answer 16

do you just find two numbers that when you multiply them you get the last number?

Answer 17

mid term breaking is a part of technique used in factorization of [usually] algebraic expressions & equations. it is also used in solving for quadratic equations.

for example

in factorization of

x^2 -7x +12=0

middle term is splitted to get some common factor.

herein

x^2 -3x -4x +12=0
---------

x ( x -3) -4(x-3)=0


(x-3) (x-4)=0

so that x = 3 & x=4

Answer 18

See this. Understood?

Answer 19

im sorry but no its fine though im just dumb haha but thank you so much for all of your help

Answer 20

LOL no it was even difficult for me but now I'm every good at this :D

Answer 21

Easiest way is you take L.c.m of the last term :/ Try I'm sure this will help you :)

Answer 22

okay thanks

Answer 23

z2 + 4z – 45 = (z – 5)(z +)

so for this one i should use 9 and 5?

Answer 24

or -5 and 9

Answer 25

Yes you are right :)
You aren't dumb but a little slow but don't worry :)