Question

let the zeroes of the polynomial 3x2-8x+2k+1 be alpha, beta
please help​

Answer 1

Answer: The value of k is 2 by 3

Step-by-step explanation:

Consider the given quadratic polynomial to be f(x),



f(x)=3x

2

−8x+2k+1



Given one zero of the polynomial is seven times another.



​

α=α

β=7α

​



Using the sum of zeroes formula,



​

sum​of​zeroes(α+β)=−

Coefficient​of​x

Coefficient​of​x

​2

α+7α=−

(−8)

3

8α=

8

3

α=

1

3

​





​

β=7α

β=7×

1

3

β=

7

3

​

​



Using product of zeroes formula,



​

product​of​zeroes(αβ)=

constant​term

coefficient​of​x

​2

1

3

×

7

3

=

2k+1

3

7=3(2k+1)

7=6k+3

​





​

6k=4

k=

2

3

​



Answer 2

Answer:

bro such a big question I can't answer sorry