Which trinomial has a factor of (2x+3)
A.2x^2+6x+9
B.2x^2+12x+9
C.4x^2+6x+9
D.4x^2+12x+9
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OpenStudy (anonymous):
This may work try it.
Multiply A x C
Then find two numbers that can multiply into that but still give you b. For example in the first one multiply 2 x 9. then find two things that when multiplied equal 18, but add up to 6
OpenStudy (anonymous):
Is it 2x^2+12x+9 @giantsniners
OpenStudy (anonymous):
I need backup, I feel like my strategy does not work for this certain problem. @RadEn
OpenStudy (anonymous):
@jigglypuff314
OpenStudy (helder_edwin):
if u put \(2x+3=0\) u get \(x=-3/2\).
replace x=-3/2 in the polynomials, if it becomes zero, u have the answer
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OpenStudy (anonymous):
okay thank you
OpenStudy (helder_edwin):
u r welcome
OpenStudy (anonymous):
I didnt get zero for any of them @helder_edwin
OpenStudy (shamil98):
4x^2+12x+9
= (2x+3)(2x+3)
or
(2x+3)^2
OpenStudy (anonymous):
So will it be 4x^2+12x+9 then? @shamil98
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OpenStudy (shamil98):
yes.
OpenStudy (helder_edwin):
u should have gotten a zero when replacing x=-3/2 in (D).
4(-3/2)^2+12(-3/2)+9=4(9/4)-12(3/2)+9=9-18+9=0