Write a quadratic equation whose factors are 4+3i and 4-3i.

Step-by-step explanation:

To answer this question, we will work backwards.

We know that a factor is 4+3i. This means that:

Hence, we will eliminate the imaginary and convert this into standard form.

First, distribute the negative:

Add 3i to both sides:

Square both sides:

Expand:

Add 9 to both sides:

Hence, our quadratic equation is:

Notes:

We will get the same equation if we use (4-3i). This is because we square the (3i) regardless of its sign, making it positive.

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step-by-step explanation: