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Mathematics 16 Online
AngeI:

Hero I have a question

AngeI:

f(x)=2x^4+29x^3+72x^2+5x-12; -3 How would I find all the zeros using the given zero? I don't remember this

AngeI:

Also sorry I do not know how to make the to the power symbol so it doesn't look messy

Elsa213:

\(\bf{f(x)=2x^4+29x^3+72x^2+5x-12; -3}\)

AngeI:

Thank you c:

Hero:

Since you already have a given zero. Use synthetic division to factor \((x + 3)\) out from the expression of \(f(x)\)

AngeI:

thats it?

Hero:

I thought that's what you're currently studying.

Hero:

If you don't know it then you'll just have to use regular long division

AngeI:

No I know how to divide that way, I just didn't know if that is all I had to do. I was overthinking it ig

Hero:

You're welcome

AngeI:

Thank you c:

AngeI:

Wait, doesn't that just use the given zero and not help me find the others? o.O

Hero:

I already explained to you what to do. Synthetic division is the quickest way to solve this. The zero only gives you one of the factors of \(f(x)\). You have to use long division or synthetic division to find the rest.

AngeI:

uh

AngeI:

(x+3)(2x^3+23x^2+3x-4) ?

Hero:

You need to factor out the \(x\) from the expression for \(f(x)\) before performing the synthetic division.

AngeI:

What doesnt that just become zero

AngeI:

Any way you could please do the equation step by step with me? e.e

Hero:

Ah I overlooked the -12 so \(x\) is not a factor

AngeI:

I have no clue anymore

Hero:

Just do the division of \(f(x)\) over \((x + 3)\)

Hero:

You have to factor the expression afterwards to find the remaining factors of \(f(x)\)

Hero:

If you're stuck, show where you are stuck. Post your division attempt.

AngeI:

Ima just like, not do this e.e

AngeI:

BUT THANK YOU Sorry my brain can't process what you say

Hero:

Perform this operation: \(\dfrac{2x^4+29x^3+72x^2+5x-12}{x+3}\)

Hero:

Using the long division format

AngeI:

nO But thank you

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