Question

For the polynomial function .............. find the zeros. Then determine the multiplicity at each zero and state whether the graph displays the behavior of a touch or a cross at each intercept.

Answer 1

\[f(x)= -x ^{6} + 3x ^{4} + 4x ^{2}\]

Answer 2

x = 0, touch; x = −2, cross; x = 2, cross
x = 0, cross; x = −2, cross; x = 2, cross
x = 0, cross; x = −2, touch; x = 2, touch
x = 0, touch; x = −2, touch; x = 2, touch

Answer 3

Hey!

Answer 4

@Ilovecake

Answer 5

Sorry I don't know how to do this.....

Answer 6

ok well thxs for trying

Answer 7

ummmm............. I think it's #2

Answer 8

Did you guesss?

Answer 9

no of course not I think it's #2

Answer 10

Then you guessed. It's 1.

Answer 11

Thanks K

Answer 12

dang what are yout typing?

Answer 13

not the fastest way to do this
the zero when f(x) = 0
f(x) = -x^6 + 3 x^4 + 4 x^2 = 0
-x^2(x^4 - 3 x^2 -4) let x^2 = a
-a(a +1)(a - 4)
x^2 = 0, -1, 2, -2
f'(x) = -6 x^5 + 12 x^3 + 8 x
f"(x) = -30 x^ 4 + 36 + 8

Answer 14

making it the first one

Answer 15

dont you agree?

Answer 16

last line should be *36 x^2

Answer 17

crosses at -2, 2

Answer 18

and x=0

Answer 19

so which is it then?

Answer 20

i think 2 crosses at 0 also

Answer 21

https://www.desmos.com/calculator

Answer 22

correction did the graph touches at 0 crosses at -2 and 2

Answer 23

did you see the graph?
x = 0, touch; x = −2, cross; x = 2, cross is the correct answer.

Answer 24

yes and thank-you

Answer 25

https://mathway.com/

Answer 26

Did you figure out how to do it?