Question

if a+b,a,a-b are zeros of polynomial p(x) = 2x^3 - 16x^2 +15x -2 value of a is : (a) 8 (b) -8 (c) 0 (d) -1​

Answer 1

Answer:

None of these

Step-by-step explanation:

Sum of a zeroes of a cubic equation (ax³+bx²+cx+d) is given by

α+β+γ=(-b/a)

b is coefficient of x² and a is coefficient of x³

In this question,

a+b+a+a-b=3a ( α=a+b , β=a , γ=a-b)

3a= -(-16)/2

3a= 16/2

3a= 8

a=8/3