Question

If alpha and beta are the zeroes of the quadratic polynomial (x) = 3x
²+x− 6 , then find a

quadratic polynomial whose zeroes are (alpha + beta) and alpha•beta.
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Answer 1

Answer:

x² + 3x - 6 = 0

Step-by-step explanation:

let the zeroes of the polynomial  3x ²+x− 6 is α and β

α + β = -3/1 = -3

αβ = -6/1 = -6

the quadratic polynomial whose zeroes are (α+β) and (αβ) is

x² - (α+β)x + αβ = 0

x² - (-3)x + (-6) = 0

x² + 3x - 6 = 0

Answer 2

Answer:

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