Obtain the other zeroes of the polynomial p(x)= x + 2x3 - 7x2 - 8x + 12
if two of its zeroes are (-2) and (-3).
Answers
Answered by
1
Step-by-step explanation:
product of roots=12
−1×2×α×β=12
αβ=−6
sum of the roots=2
α+β−1+2=2
α+β=1
β=−
α
6
α−
α
6
=1
α
2
−6=α
α
2
−α−6=0
α
2
−3α+2α−6=0
α(α−3)+2(α−3)=0
(α+2)(α−3)=0
α=3,−2
Similar questions