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# M2 integration/differentiation

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1. Im doing 3 c and Im unsure what method I should use to solve t^4 -6t^2 +8 =0. In my attempt i used the factor theorem to determine that t=+/-2 is a possible solution, and tried to divide the polynomial my (t-2) however I got a remainder at the end. This seems like a lot to do for three marks, is this the method we're expected to use?
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2. (Original post by pineneedles)
Im doing 3 c and Im unsure what method I should use to solve t^4 -6t^2 +8 =0. In my attempt i used the factor theorem to determine that t=+/-2 is a possible solution, and tried to divide the polynomial my (t-2) however I got a remainder at the end. This seems like a lot to do for three marks, is this the method we're expected to use?
No, you're meant to recognise that if you let u = t^2 then you get u^2 - 6u + 8 = 0 which is an easy quadratic. Then you can back-sub u = t^2 and solve for t. (assuming that your t^4 - 6t^2 + 8 = 0 is right in the first place, haven't checked.)
3. Ahh I didn't think of trying that method, thank you both
PRSOM, zacken
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