afternoon zeros of polynomial 9 x raised to 4 minus 6 x cube minus 35 X square + 24 x minus 4 if two of its zeros are 2 and minus 2
Answers
Answered by
1
as the zeroes of the polynomial are 2 & -2
it's factors will be (x-2)(x+2)
=
![x {}^{2} - 4 x {}^{2} - 4](https://tex.z-dn.net/?f=x+%7B%7D%5E%7B2%7D++-+4)
Now,
p(x) =
![p(x) = 9 x{}^{4} - 6x {}^{3} - 35 {}^{2} + 24x - 4 p(x) = 9 x{}^{4} - 6x {}^{3} - 35 {}^{2} + 24x - 4](https://tex.z-dn.net/?f=p%28x%29+%3D+9+x%7B%7D%5E%7B4%7D++-+6x+%7B%7D%5E%7B3%7D++-+35+%7B%7D%5E%7B2%7D++%2B+24x+-+4)
A/q:-
(see the division at the top)*
Now factorise the quotient by middle term splitting.
we get x=1/3 & 1/3
Hence,
Zeroes of the polynomial are 1/3,1/3,2.-2.
it's factors will be (x-2)(x+2)
=
Now,
p(x) =
A/q:-
(see the division at the top)*
Now factorise the quotient by middle term splitting.
we get x=1/3 & 1/3
Hence,
Zeroes of the polynomial are 1/3,1/3,2.-2.
Attachments:
![](https://hi-static.z-dn.net/files/d21/a5d2eec1194c012741a9c3e06bcb6bfb.jpg)
![](https://hi-static.z-dn.net/files/d75/7b5707dd1dc195b0531b9738acdd2f90.jpg)
Similar questions