Question
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Die polinoom is deelbaar deur .
Bepaal die waardes van en .

Ask by Nichols Davison. in South Africa
Jan 27,2025

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Tutor-Verified Answer

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Solution

Let’s break down the problem step by step.

Step 1: Understand the conditions

We have the polynomial which is divisible by . This simplifies to .

Step 2: Apply the Remainder Theorem

According to the Remainder Theorem, if a polynomial is divisible by , then . In our case, since is divisible by , we need to find and set it equal to zero.

Step 3: Substitute into

We will substitute into the polynomial:
Calculating each term:
So we have:

Step 4: Set the equation to zero

Now, we set :
This simplifies to:

Step 5: Rearranging the equation

We can rearrange this equation to express in terms of :

Step 6: Conclusion

We have expressed in terms of . To find specific values for and , we would need additional information or constraints. However, the relationship between and is:
If you have any specific values or additional conditions for or , please provide them, and we can solve for the exact values.

Reviewed and approved by the UpStudy tutoring team

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Mind Expander

Die polinoom is deelbaar deur , wat beteken dat as jy in die polinoom inset, die resultaat gelyk aan nul moet wees. Jy kan die polinoom so skryf:
Hierna kan jy dit vereenvoudig en die waardes van en bereken.
As jy dit oplos, sal jy vind dat jy twee vergelykings het wat jy kan gebruik om en te bepaal. Dit is 'n prettige uitdaging, soos 'n raaisel, waar jy elke stap versigtig moet deurwerk om die dieselfde mate te bereik.
Onthou dat jy dalk soms om 'n draai moet draai in jou benadering, veral as jy die waardes van en vind! Maak seker dat jy nie net die getalle insit sonder om na die regte teken en logika te kyk nie; dit kan lei tot foute. As jy byvoorbeeld 'n verkeerde teken gebruik, kan jy 'n heeltemal ander antwoord kry. Neem jou tyd en dubbelcheck jou werk – dit is die sleutelpunt na sukses!

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