by taking X=3by4 and Y=-5by6 verify that X÷YnotequalltooY÷X
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Let p(x)=x3+3x2−x−3
p(1)=(1)3+3(1)2−1−3=0
p(−1)=(−1)3+3(−1)2+1−3=0
p(−3)=(−3)3+3(−3)2+3−3=0
Hence, 1,−1 and −3 are the zeroes of the given polynomial.
If α,β,γ, are roots of a cubic equation ax3+bx2+cx+d=0, then
1. α+β+γ=−ab
2. α×β+γ×β×γ+α×γ=ac
3. α×β×γ=−ad
⇒−3=−ab−3=−13=−3⇒−1=−11−1=−1
Step-by-step explanation:
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