Question

if alpha and beta are roots of polynomial 4 x square - 5 x - 1 find the value of Alpha* 4 beta*3 + beta*4 and Alpha*3​

Answer 1

Answer:

Step-by-step explanation:

F[x]= $4x^{2} - 5x - 1$

$4\alpha * 3\beta + 4\beta * 3\alpha=$to be calculated

a = 4

b =   -5

c =  -1

product of zeros = c/a

$\alpha \beta$= -{-5}/ 4

=5/4

$4\alpha *3\beta +4\beta *3\alpha$ = $12\alpha \beta + 12\alpha \beta$

= $24\alpha \beta$

= 24(5/4)                                  (using value of $\alpha \beta$)

=5*6

=30