Question

If α and β zeroes of the polynomial x2– 6x + a, find a if β = – 2.​

Answer 1

Answer:

a=-16

Step-by-step explanation:

bu using zero of polynomial

Answer 2

let A= 1 B= -6 and C= a

sum of zeroes of quadratic polynomial= -B/A

(α+β) = -B/A

[ α+ (-2) ] = -(-6) /1

α -2 = 6

α = 8

Then products of their zeros = C/ A

αβ = a/A

( 8) (-2) = a/1

-16 = a

hence a= -16