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Mathematics 10 Online
nikkixmarie:

equations of polynomial help

nikkixmarie:

1 attachment
nikkixmarie:

so far i know the degree, turning point, and its negative

WelpHereWeGo:

That's a posotive function ik cause I just took a quiz on this stuff

WelpHereWeGo:

f(x) x(x-2)(x+1)^2

nikkixmarie:

so its positive not negative?

darkknight:

If the leading coefficent is positive and the degree of the polynomial is even, then both ends of the graph point up. We see both sides pointing up, so what can we say?

nikkixmarie:

That it is positive

darkknight:

correct, also @WelpHereWeGo don't give direct answers.

nikkixmarie:

I actually had that answer in the first place just didn’t know if it was right

darkknight:

So now you need help with the zero's and multiplicities?

nikkixmarie:

I got -1,2 for that

darkknight:

okay, anyways the equation that welphere provided is wrong,

nikkixmarie:

Is it x^2(x-2)(x+1)

darkknight:

So to find multiplicities based on the graphs, we have to see the behaviors close to the intercepts, if the function bounces off the x-intercept (doesn't cross x-axis) then that would have an even multiplicity. Let's look at the root at x=2, if we see, close to that general area we can see a parabolic like shape. Do you see a parabolic like shape around x=-2?

nikkixmarie:

yes wouldn’t it be cubed?

nikkixmarie:

So like (x+2)^3

AleighaBoggs:

can yall help me

darkknight:

sorry, i was afk

darkknight:

anyways we see a quadratic like shape right?

darkknight:

@nikkixmarie

WelpHereWeGo:

\(\color{#0cbb34}{\text{Originally Posted by}}\) @darkknight correct, also @WelpHereWeGo don't give direct answers. \(\color{#0cbb34}{\text{End of Quote}}\) 😗 ma bad

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