Question

obtain all the zeros of 3x^4+6x^3-2x^2-10x-5, if two zeroes are root5/3 and root-5/3​

Answer 1

Step-by-step explanation:

-1 , -1 are the another two zeros of the polynomial

Given:

Two roots \frac{\sqrt{5}}{3} \text { and }-\frac{\sqrt{5}}{3}

To find:

Another two roots = ?

Solution:

Let the given polynomial be

To find the two of its roots or zeroes are given, we need to find two other roots.

The two given roots are

If any value is said to be the root, it has to satisfy the polynomial.

should satisfy f(x)=0

should satisfy f(x)= 0

When

is divided by f(x), the remainder should be 0

Let us check find the quotient using the division method are attached below:

Therefore, the other roots are -1, -1.

Answer 2

Answer:

1 & -1 are the other zeros.

Step-by-step explanation:

The given two zeros are √5/3 & √-5/3.

We have to find out other two zeros.

If any value is said to be the polynomial,it should satisfy the quotient.

Therefore it should satisfy:f(x)=0.

When it is divided by them the remainder should be 0.

So other roots are 1 & -1.

Follow me ⭐⭐⭐