Asked by Alankrita
Find all the zeroes of the polynomial
2x^4+7x^3-19x^2-14x+30 , if two of its zeroes are root2 and -root2?
2x^4+7x^3-19x^2-14x+30 , if two of its zeroes are root2 and -root2?
Answers
Answered by
Steve
(x-√2)(x+√2) = x^2-2
(2x^4+7x^3-19x^2-14x+30)/(x^2-2) = 2x^2+7x-15
Now you can factor that to find the other two roots
(2x^4+7x^3-19x^2-14x+30)/(x^2-2) = 2x^2+7x-15
Now you can factor that to find the other two roots
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