Question

What are the possible rational zeros of f(x) = x4 + 6x3 − 3x2 + 17x − 15?

± 1, ± 3, ± 5, ± 15
± 1, ± 1 over 3, ± 1 over 5, ± 1 over 15
± 1, ± 3, ± 6, ± 15, ± 17
± 1, ± 1 over 3, ± 1 over 6, ± 1 over 15, ± 1 over 17

Answer 1

@Nnesha

Answer 2

so did you graph it?

Answer 3

`Rational Roots Test`
we have to find possible zeros by testing each number from p/q fraction \[\rm \frac{ p }{ q }=\frac{ \pm factors~of~constant~term }{\pm factors~of~leading ~coefficient }\]

Answer 4

so what's the leading coefficient and constant term in that equation ?
or as mentioned above you can just graph it
zeros (x-intercept ,solution) are points where line intersect the x-axis

Answer 5

um... i have no idea ;/ I'm so lost in this.

Answer 6

how do i find the factors

Answer 7

well i just noticed the graph will give you EXACT solution but we need POSSIBLE

Answer 8

so go with p/q method
what is the leading coefficient in that equation ?
leading coefficient = coefficient of highest degree variable

Answer 9

and what is the constant term ?

Answer 10

x^4

Answer 11

has the highest degree..

Answer 12

that's same as 1x^4
so one is leading coefficient

Answer 13

ok

Answer 14

and constant term ?

Answer 15

what is that ?

Answer 16

constant term ( number without any variable )

Answer 17

15

Answer 18

or would it be -15 ?

Answer 19

@Nnesha

Answer 20

sorry my computer was shutdown
and yes that's correct

Answer 21

what are the factors of 15 ?

Answer 22

1,3,5,15

Answer 23

right \[\rm \frac{ p }{ q }=\frac{ \pm1, \pm 3, \pm 3 , \pm5 , \pm 15 }{\pm 1 }\]

now remember each number at the numerator is dividing by 1
simplify each fraction to eliminate the identical values

Answer 24

that's it!

Answer 25

so its A ?

Answer 26

that's correct

Answer 27

Thank you

Answer 28

yw