Question

create a quadratic equation with two real zeros

Answer 1

fan and medal

Answer 2

okay let's say the zeros are 3 and -2 alright!

Answer 3

ok

Answer 4

We know that the general form of a quadratic equation is like this
ax^2+bx+c

Answer 5

which part of that would be the zeros?

Answer 6

the zero are the solution the equation ax^2+bx+c=0
otherwise known as x-intercepts?

Answer 7

so a(3)^2 + b(-2) + c?

Answer 8

if 3 and -2 are zeros for a certain quadratic function
then we know that it will be factored like this (x-3)(x+2)

Answer 9

oh

Answer 10

No not just follow okay

Answer 11

if we solve (x-3)(x+2)=0 we would get x-3=0 or x+2=0
right?

Answer 12

right

Answer 13

this what we mean by zeros

Answer 14

So our function would be like f(x)=(x-3)(x+2) since those are the two solution to f(x)=0

Answer 15

Do you agree?

Answer 16

yes :) i understand now

Answer 17

Okau, we are not done yet. we still need to write it like ax^2+bx+c

Answer 18

f(x)=(x-3)(x+2) you can use FOIL

Answer 19

Can you do that?

Answer 20

what is FOIL?

Answer 21

okay let me draw you what it is

Answer 22

ok