Question

What are the zeros of the polynomial function: f(x) = x3 – 5x2 + 6x ?

Answer 1

factor x out first, tell me what you have

Answer 2

what do you mean ?

Answer 3

oh, sorry, I don't know what I mean, too. let me tag other for help. @Jhannybean

Answer 4

Fator out an x first. you see that there is a common "x" multiplier in this function, so pull out out of all the terms. You would have
\[\large f(x) = x^3 - 5x^2 +6x \]\[\large f(x) = x(x^2 -5x +6)=0\] Can you finish this up now? :)

Answer 5

What do i do ? :()

Answer 6

what are two numbers that multiply to get 6, but add to give you -5?

Answer 7

hint: think of the multiples of 6.

Answer 8

(x-3)(x-2)

Answer 9

good. so now you have 3 terms to solve for.

x = 0

x - 3 = 0

x - 2 = 0

Can you find the zeroes of your function?

Answer 10

so 3 and 2 ?

Answer 11

and 1 more

Answer 12

oopss 0 , 3 , 2

Answer 13

Yay! you got it.

Answer 14

ok . one more ?

Answer 15

According to The Fundamental Theorem of Algebra, how many zeros does the function f(x) = 24x5 + 8x3 – 2x – 15 have?

Answer 16

To find this, analyze the variable with the highest power.

Answer 17

24

Answer 18

no the power, not the coefficient. \[\large f(x) =24\color{green}{x^5}+8x^3-2x-15 \]

Answer 19

so its 5 ?

Answer 20

hello ?

Answer 21

Yes, 5. ) Good job.

Answer 22

:)*

Answer 23

tbhankyoouu (:

Answer 24

npppp :)

Answer 25

and THANK YOU for the medal!