Question

If - √7 and √7 are the two zeroes of the polynomial x4 + 7x 3 +3x 2 -49 x - 70 , then find the other zeroes.​

Answer 1

Answer:

Let remaining two zeroes are a,b.

sum of all zeroes = -7.

so, -√7+√7+a+b = -7.

a+b = -7.

product of roots = -7ab = -70 so, ab = 10.

two numbers with sum as -7 and product as 10 are -5&-2

So the remaining two roots are -5&-2