Question

If alpha and beta are zeros of polynomial x2-k (x+1) -a . Evalute (alpha + 1)(beta + 1)

Answer 1

Answer:

Step-by-step explanation:

X² - kx - K -a = 0

A = 1 , b = -k, c = -k-a

Alpha + beta = -b/a

= -(-k) ÷1 = k

Alpha. Beta = c/a

= -k-a ÷ 1 = -k-a

(alpha +1)(beta +1)

Alpha (beta + 1) + 1 (beta + 1)

Alpha. Beta + alpha + beta + 1

-k-a + K + 1

= 1-a

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