Find all the zeroes of the polynomial 2×4 + 7×3-19×2-14x+30, if two of it’s zeroes are√2 and-√2

Find all the zeroes of the polynomial 2×4 + 7×3-19×2-14x+30, if two of it’s zeroes are√2 and-√2

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  1. Step-by-step explanation:

    Since, and are zeros of f(x). x2 – 2 is a factor of f(x). Now, we divide 2×4 + 7×3 − 19×2 − 14x + 30 by g(x) = x2 – 2 to find the zero of f(x). Hence, the zeros of the given polynomial are , , , -5.

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