Gabby M.

asked • 01/15/21

Use the given numbers to create a function that has two distinct roots: - 3/4 and -1

PLEASE help me on this question i’m confused i need it by 10 pm :(

1 Expert Answer

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Julie P. answered • 01/15/21

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Math Grad for Algebra and Stats, with Excel Freelancing
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About this tutor ›

Hi Gabby,


How are you? A distinct root means that it's where the equation zeroes out.


if you have this:


(x+3/4)(x+1). do you see how if you plug in x = -1, you would get 0. and do you see how if you plug in x = -3/4, you would also get 0.


Let me know if you have further questions,


Best,

MissJulie

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Gabby M.

I’m okay, thank you for asking. I’m really confused because it’s a fill in the blank f(x) = ____x^2 + _____x +____. I kinda understand what you’re talking about but i’m confused how would I plug it into that?
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01/15/21

Julie P.

tutor
Okay. So if you expand your (x+3/4)(x+1) you need to FOIL, first, outers, inners, last. Do you know this? If not, I can explain FOIL,
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01/15/21

Julie P.

tutor
to plug in a number means that you insert that number instead of X
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01/15/21

Julie P.

tutor
the first step in your problem to FOIL is to multiply x times x to get x squared
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01/15/21

Julie P.

tutor
if you don't have a number in front of x squared or x^2, it's a given 1. so the first answer to your fill in is 1
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01/15/21

Julie P.

tutor
if you multiply the outers and inners and add them together what do you get ? you get 1 x + 3/4 x which is 7/4 x.
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01/15/21

Julie P.

tutor
if you multiply the lasts, you get 3/4 times 1, so that is 3/4
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01/15/21

Julie P.

tutor
any further questions?
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01/15/21

Gabby M.

Ohhh okay, yes I really understand now but for the last to spots what exactly do I plug in because it has to be a whole number 0-9?
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01/15/21

Julie P.

tutor
Is it a computer program that you are plugging into? and it's not accepting the fraction?
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01/15/21

Gabby M.

It’s a program “edulastic”, i have to plug the number in by dragging a number into the spots, and there’s only numbers 0-9, I can’t type it.
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01/15/21

Julie P.

tutor
if you drag 7 and then put a division mark and then drag 4 would that work?
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01/15/21

Gabby M.

Sadly no, it can only be one number, I can’t write in the box, only drag one number for each one.
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01/15/21

Julie P.

tutor
you can try multiplying the entire equation by 4 to get rid of the fraction. that way you have 4x^2 + 7x + 3. so drag 4, then 7, and then 3.
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01/15/21

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