Question

If the sum of zeros of the polynomial
p(x) = kx3 - 5x2 - 11x - 3 is 2, then k is equal to​

Answer 1

Answer:

k =5/2 is the answer for the given problem

Answer 2

Answer:

The value of k is 5/2.

Step-by-step explanation:

• In context to the given question , we have to find the value of k.
• Given polynomial ;

⇒ p(x) = kx³ - 5x² - 11x - 3

⇒ Sum  of zeroes of polynomial = 2

Solution;

let the zeroes of the given equation be p ,q and r

We know that ;

Sum of zeroes of cubic equation = -b/a    

p + q+ r = -b/a                              [ EQ. A]

Given polynomial ;

⇒ p(x) = kx³ - 5x² - 11x - 3

a= k , b= -5 , c= -11 and d= -3

Putting  the value is eq. a

p + q+ r = -(-5)/k

2 = 5/k      [  we know that sum of zeroes of the polynomial is 2 ]

k = 5/2

∴ The value of k is 5/2.