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How to Solve this F(x)= (x²-4)(x²-6x+9)

User Besworks
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1 Answer

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Answer:

x^4 - 6x^3 + 5x^2 + 24x - 36

Explanation:

So what you want to do is solve for x. The way we do this is by multiplying x^2 (from the first set of parenthesis) and multiply it with all of the things in the second set of parenthesis. So it's going to look like this:

x^2 (x^2 -6x +9)

When we multiply a variable by the same variable, we keep the single variable and add the exponents. So now it's going to look like this:

x^4 - 6x^3 + 9x^2

Now the first part of the equation is done. When we move on to the second part, you will do -4(x^2 -6x +9). Again, we are going to use the distributive property to get the second part of the equation so that it looks like this:

-4x^2 + 24x - 36

Now we can put the two parts together. When we do this, you can line up the ones that have the same exponent. This is because they have to be in the order that they are given. After we do this, it will look like this:

x^4 - 6x^3 + 5x^2 + 24x - 36

Usually you will end up with one less term than when you started with. For example, if you start with 6 terms, you should end with 5.

Hope this helps!

User Mahdi Jadaliha
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