Find the cubic polynomial whose zeroes are 3,4 and -5
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Answer:
Step-by-step explanation:
when X = 3 ,
X-3 = 0
when X = 4 ,
X-4 = 0
When X = -5 ,
X+5 = 0
Multiply the three factors to get your cubic polynomial...
(X - 3) (X - 4) (X + 5) = P(X)
(X² - 7X + 12) (X + 5) = P(X)
Therefore P(X)=
X³ - 2X² - 23X + 60
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