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how do you simplify x^4 - 98?
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Are you sure it isn't 2x^4-98?
It's x to the power of 4 - 98.
It's already in simple form.
The answer is (x^2-7)(x^2+7) but I don't know why
You don't know what that is the answer because you have posted the problem incorrectly.
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\[(x^2-7)(x^2+7)=x^4-49\]
So that COULD NOT be the answer to the problem you posted.
The full question is f(x) = 2x^5 - x^4 - 98x + 49. Find one rational zero. Use the zero found and division to write the polynomial in completely factored form.
What zero did you find?
The positive x intercept of .5
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So that means that 2x-1 is a factor. Did you divide by 2x-1 to see what the remaining polynomial is?
Yes and that's how I got x^4 - 98.
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