Question

If the sum of zeroes of the polynomial p(x)= 2x³-3ax²+4x-5 is 6 then find a

Answer 1

Heya friend ✋! here is your answer

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✅ Given sum of zeros is 6

✔️Given polynomial 2x^3-3ax^2+4x-5

◆a=2. b=-3a c=4. &. d=-5

◆Sum of zeros=-b/a

◆6=-(-3)a/2

◆6×2=3a

✔️12=3a

✅a=12/3

✅a=4

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⭐️Hope it helps you ⭐️

#Rohan (Maths aryabhatta)⭐️

Answer 2

Answer :-

p(x) = 2x^3- 3ax^2+4x - 5

$\alpha + \beta + \gamma = \frac{ - b}{a}$

alpha+beta+gama = 6 (given) ...(i)

So,

= - (-3a) / 2

from eq. (i) we get,

3a / 2 = 6

So, a =4 (answer)