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Mathematics 17 Online
zarkam21:

Help with this last question

zarkam21:

1 attachment
ILovePuppiesLol:

this is literally 5 questions

zarkam21:

Its a four,five part question :/

Vocaloid:

well the instructions are somewhat self-explanatory part I) a and b, find the constant term (the number not being multiplied to a variable), and then list all of its factors part II) repeat the same thing with the leading coefficient part III) apply the rational root theorem, list all combinations of (factor from part II)/(factor from part I)

zarkam21:

5 for a

zarkam21:

leading coefficient is 4

zarkam21:

@563blackghost

Vocaloid:

it also asks to list out the factors

zarkam21:

factors of 5 and 4

zarkam21:

or x-5?

Vocaloid:

factors of 5 and 4

zarkam21:

factors of 5 are 1 and 5

Vocaloid:

keep going for 4

zarkam21:

1,2,4

Vocaloid:

good, now we find all the possible roots by listing every combination of (factor from Ib)/(factor from IIb) including +/- signs so factors from Ib) ±1,±5 factors from 2b) ±1, ±2, ±4 so ±1/1, ±5/1, ±5/2, etc. until all possibilities are exhausted

Vocaloid:

should be 6 total

zarkam21:

so +-1/+-4 +-1/+-2

Vocaloid:

good, keep going

zarkam21:

+-5/+-4

Vocaloid:

good so ±1/1, ±1/2, ±1/4, ±5/1, ±5/2, ±5/4 are the 6 possibilities

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