Question

If one zero of the polynomial 3x²+(2k+7)x-4 is negative of the others find the value of k and find the other zero

Answer 1

Hi...☺

Here is your answer...✌

Given Polynomial :

3x² + (2k +7)x - 4

a = 3 , b = 2k + 7 , c = -4

Let the one zero of given polynomial be α
Then other zero will be -α

Now
We know that,

Sum of zeros = -b/a

α + (-α) = - (2k + 7)/3

0 = (- 2k - 7)/3

0 = - 2k - 7

7 = - 2k

=> k = -7/2

Answer 2

I hope this may help you.....✌️✌️✌️
Thank You......☺️☺️☺️