Given that √2 is a zero of the cubic polynomial 6 ³ +√2 ² -10 -4√2 find its other two zeroes.
Share
Given that √2 is a zero of the cubic polynomial 6 ³ +√2 ² -10 -4√2 find its other two zeroes.
Sign Up to our social questions and Answers Engine to ask questions, answer people’s questions, and connect with other people.
Login to our social questions & Answers Engine to ask questions answer people’s questions & connect with other people.
Verified answer
I hope you make me brainlist pls
is zero of the cubic polynomial 6x
3
+
2
x
2
−10x−4
2
, find its other two zeroes.
Medium
Solution
verified
Verified by Toppr
Given polynomial is:-
p(x)=6x
3
+
2
x
2
−10x−4
2
Since x=
2
is a zero of p(x)
⟹(x−
2
) will be a factor of p(x)
x−
2
)6x
3
+
2
x
2
−10x−4
2
(6x
2
+7
2
x+4
6x
3
−6
2
x
2
−+
7
2
x
2
−10x
7
2
x
2
−14x
−+
4x−4
2
4x−4
2
−+
0
⟹6x
2
+7
2
x+4=0
⟹6x
2
+4
2
x+3
2
x+4=0
⟹2x(3x+2
2
)+
2
(3x+2
2
)=0
⟹(3x+2
2
)(2x+
2
)=0
⟹(3x+2
2
)=0or(2x+
2
)=0
⟹x=−
3
2
2
orx=−
2
1
Hence two zeroes are −
3
2
2
and x=−
2
1
Step-by-step explanation:
I hope helpfull
please like
friends