Question

If two zeroes of the polynomial - 6r-26 + 138r - 15 are 2 : 3 find other Zeroes​

Answer 1

Answer:

Step-by-step explanation:

Answer

The two zeroes of the polynomial is 2+  

3

​

,2−  

3

​

 

Therefore, (x−2+  

3

​

)(x−2−  

3

​

)=x  

2

+4−4x−3

= x  

2

−4x+1 is a factor of the given polynomial.

Using division algorithm, we get

x  

4

−6x  

3

−26x  

2

+138x−35=(x  

2

−4x+1)(x  

2

−2x−35)

So, (x  

2

−2x−35) is also a factor of the given polynomial.

x  

2

−2x−35=x  

2

−7x+5x−35

=x(x−7)+5(x−7)

=(x−7)(x+5)

Hence, 7 and −5are the other zeros of this polynomial.