11. What is the product in simplest form? State any restrictions on the variable.
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OpenStudy (anonymous):
OpenStudy (anonymous):
@terenzreignz please help me here?!?!?!
terenzreignz (terenzreignz):
First, factor out what can be factored :P
OpenStudy (anonymous):
let's start with this x^2+7x+10
find two numbers a and b when u multiply them give u 10 and when u add them give u 7 then write it this way (x+a)(x+b) can y do that????
OpenStudy (anonymous):
whoa whoa what??? ^
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terenzreignz (terenzreignz):
Factor out. I don't know how to explain factorisation of polynomials, so I guess I'll leave that to @summer1980 :)
You're factoring out the polynomials so that you can see if there are any factors that can be cancelled, thereby simplifying your expression.
OpenStudy (anonymous):
@summer1980 5 and 2 ?
OpenStudy (anonymous):
that is correct
OpenStudy (anonymous):
ook so now what do i do after i did that?
OpenStudy (anonymous):
x^2+7x+10= (x+5)(x+2)
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OpenStudy (anonymous):
now do the rest the same way
OpenStudy (anonymous):
so now i have to find 2 #s that can be multiplied and added together to get 18 and 3?
OpenStudy (anonymous):
yes
OpenStudy (anonymous):
-18 and -3
OpenStudy (anonymous):
ok so -3 and -6? idk i can think of any
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OpenStudy (anonymous):
let's check it out
(-3)(-6)=18
-3-6=-9
OpenStudy (anonymous):
sooo we need to change signs
the numbers are 3 and -6
check it out
OpenStudy (anonymous):
x^2-3x-18=(x+3)(x-6)
OpenStudy (anonymous):
ok now what?
OpenStudy (anonymous):
did u get it
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OpenStudy (anonymous):
im lost after x^2-3x-18=(x+3)(x-6)
OpenStudy (anonymous):
we have not finished yet
now we do the last one the same way
x^2+x-2
OpenStudy (anonymous):
a+b=1
ab=-2
what are a and b
OpenStudy (anonymous):
-3 &-18 ???
OpenStudy (anonymous):
no no no
a=2
b=-1
then we get
x^2+x-2=(x+2)(x-1)
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