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Mathematics 22 Online
Allison:

Factor completely.

Allison:

x^2-8x+15

Allison:

Wrong subject this is math yikes @dude

jhonyy9:

\(\color{#0cbb34}{\text{Originally Posted by}}\) @jhonyy9 try get two numbers what are sum -8 and product 15 \(\color{#0cbb34}{\text{End of Quote}}\)

jhonyy9:

x+y = -8 x*y = 15 can you solve this system ?

jhonyy9:

this is the easy way but you can use the discriminant method to get the roots of a quadratic

jhonyy9:

what you wan use ?

jhonyy9:

the discriminant formula do you know ?

Allison:

No

jhonyy9:

ok so than use the first what i ve wrote above - this is the easyst way try get two numbers with sum -8 and product 15

jhonyy9:

@Allison any idea ?

Allison:

That add up?

jhonyy9:

why ? this is easy

Allison:

-4 times 2..? or addition that gets -8?

jhonyy9:

addition like x+y= -8 and product like x*y = 15

Allison:

5 x 3 4+4

jhonyy9:

so than you get these two numbers these will be the roots of this quadratic but to write it completly factorized you need to know again the ViƩte formula how can you rewrite a quadratic completly factorized than you know the roots of quadratic @dude do you agree this pls ?

jhonyy9:

@Allison there are 4 numbers but you need just two

jhonyy9:

two numbers with sum -8 and product 15

dude:

Going to rephrase what jhonny said Get two numbers that will multiply to 15 Once you have those, add *those numbers* up and check if it equals -8

Allison:

Only 5 and 3

dude:

Yes, but you need to get to -8

dude:

(Use negatives)

Allison:

-5 and -3?

jhonyy9:

ty. @dude

dude:

Yes Now write it as \((x-5)(x-3)\)

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