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Mathematics 8 Online
Allison:

(16x^2-4x+1) is a factor of (g^3+h^3). What are the values of g and h?

Allison:

Yikes this did not copy right

MiraAngel:

loll I would just try to type it again as a comment.

Hoodmemes:

The expression ( 16 x 2 − 4 x + 1 ) is a factor of ( g 3 + h 3 ) . What are the values of g and h ?

Allison:

(16x^2-4x+1) is a factor of (g^3+h^3). What are the values of g and h?

MiraAngel:

@Shadow

Shadow:

bruh, I do not miss this kind of math

Allison:

So no help?

Shadow:

Yeah I'll ping some big bois @darkknight

darkknight:

\[16x^2-4x+1\] is a factor of \[g^3+h^3\]

darkknight:

that is the equations right?

Allison:

Yes

darkknight:

I gtg for 15 min, ill help u out then :/

Allison:

Ok

Allison:

@Vocaloid

darkknight:

alright, im back

Allison:

Cool beans

darkknight:

ohh it says it is a factor. So I would assume you have to take 16x^2-4x+1 and divide by (g^3+h^3), and we should get some leftover. And we solve for g and h

Allison:

Huh

Shadow:

Prob, let's wait n see

darkknight:

alright so we have (g^3+h^3) This can be rewritten as (g+h)(g^2-gh+h^2) Now we have the (16x^2-4x+1) Basically (16x^2-4x+1) is equal to g^2-gh+h^2) Since the problem said (16x^2-4x+1) is a factor of (g^3+h^3) Then we can ignore the g+h part and only focus on g^2-gh+h^2 Basically I am saying that g^2-gh+h^2 = (16x^2-4x+1) Now can you figure out g and h from here?

darkknight:

g^2-gh+h^2 = (16x^2-4x+1) So basically that means that g^2 is 16x^2 h^2 is 1 and -gh is -4x

darkknight:

If we look, that means that g equals 4x, if we square root both sides Now h equals 1. -gh equals 4x, and this makes sense because we said that g is 4x and h is 1. So -gh is -(4x)(1) or -4x.

darkknight:

So we just figured out that g is 4x and h is 1

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