If one of the zeroes of the cubic polynomial x3 + px² + qx + r is -1, then the product of the other two zeroes is
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Answer:
product of the other two zeros is q-p+1.
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Answer:
q - p + 1
Step-by-step explanation:
α + β + γ = -p/1 =-p ________①
αβ + βγ + γα = q ________②
αβγ = -r
α = -1
from equation ①
-1 + β + γ = -p
β + γ = 1 - p
from equation ②
-β + βγ + (-γ) = q
Adding equation ① & ②
β + γ = 1 - p
-β + βγ + (-γ) = q
βγ = q - p + 1
HOPE YOU FIND THIS ANSWER HELPFUL
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