Question

If a and b are the zeros of the Polynomial p(x)=3x²-14x+15 Find the value of a²+b²​

Answer 1

Answer:

a² + b²= 11.77

Step-by-step explanation:

p(x)= 3x² - 14x + 15

     = 3x² - 9x -5x +15

     = 3x(x-3) -5(x-3)

     = (3x-5)(x-3) = 0

x = 3 or x = 5/3

a and b are the zeros

a = 3

b = 5/3

a² + b² = (3)² + (5/3)²

           = 9 + 25/9

           = (81 +25)/9

           = 106/9

a² + b²= 11.77

Please mark as brainliest !