In a quadratic function, the value of the product of the roots (alpha, beta) is 4. Find the value of (alpha * beta)^(n-1...

Question

In a quadratic function, the value of the product of the roots (alpha, beta) is 4. Find the value of (alpha * beta)^(n-1).

A. n^4
B. 4^(n-1)
C. 2^(n-1)
D. 4^(-1)

Accepted Answer

(alpha * beta)^(n-1) = 4^(n-1) (option B) When the product of the roots of a quadratic is known, any power of that product is immediately computable by substitution. Here the product equals 4, so raising it to the (n-1) power gives 4^(n-1).

In a quadratic function, the value of the product of the roots (alpha, beta) is 4. Find the value of (alpha * beta)^(n-1). A. n^4 B. 4^(n-1) C. 2^(n-1) D. 4^(-1)