Question

$\huge\red{\boxed{\blue{\mathcal{\overbrace{\underbrace{\fcolorbox{blue}{aqua}{\underline{\red{QUESTIONS}}}}}}}}}$



Obtain all other zeroes of 3x4+ 6x3 – 2x2 – 10x – 5, if two of its zeroes

are √(5/3) and-√(5/3).




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Answer 1

Answer:

-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.

HOPE IT HELPS

THANK U

Answer 2

Answer:

the other two zeroes are 1 and -1 ..... THANKS FOR YOUR LIKES (◍•ᴗ•◍)