Question

. If ∝ and are the zeroes of the polynomial f (x) = x2

– 4x + k such that

∝

2 +

2 = 10, find the value of k​

Answer 1

Answer:

k= 8

Step-by-step explanation:

2∞+2 = 10

2∞ = 10–2

2∞ = 8

∞ = 4

factor

(x–∞) = 0

x = ∞

x = 4

put value of x in polynomial f(x)

2x–4x + k = 0

–2x + k = 0

–2(4) + k = 0

–8 + k = 0

k = 8