Question

if alpha beta and gamma are the zeros of the polynomial 2 x cube + x square - 13 x + 6 then evaluate alpha beta + beta gamma + gamma alpha​

Answer 1

Answer:

13/2 or 6.5

Step-by-step explanation:

p (x)=2x3+x2-13x+6

alpha beta + beta gamma +gamma alpha =c/a

13/2

6.5

Answer 2

Step-by-step explanation:

Given -

• α, β and γ are the zeroes of the polynomial 2x³ + x² - 13x + 6

To Find -

• Value of αβ + βγ + γα

As we know that :-

• αβ + βγ + γα = c/a

→ -13/2

Hence,

The value of αβ + βγ + γα is -13/2

Some related formulas :-

For cubic polynomial :

• α + β + γ = -b/a
• αβ + βγ + γα = c/a
• αβγ = -d/a

For quadratic polynomial :

• α + β = -b/a
• αβ = c/a