Question

Find all the zeroes of the polynomial 2x4 + 7x3-19x2-14x+30, if two of it's zeroes are√2 and-√2

Answer 1

Step-by-step explanation:

Since, and are zeros of f(x). x2 - 2 is a factor of f(x). Now, we divide 2x4 + 7x3 − 19x2 − 14x + 30 by g(x) = x2 - 2 to find the zero of f(x). Hence, the zeros of the given polynomial are , , , -5.