Question

find all the zeros of 3 x to the power 4 + 6 x cube minus 2 x square - 10 x minus 5 if two of its zeros are root 5 by 3 and minus root 5 by 3 ​

Answer 1

Answer:

Two zeroes are 35 and −35

So we can write it as, x = 35 and x = −35

we get x−35=0 and x+35=0

Multiply both the factors we get,

x2−35=0

Multiply by 3 we get

3x2−5=0 is the factor of 3x4+6x3−2x2−10x−5

Now divide, 3x4+6x3−2x2−10x−5 by 3x2−5=0 we get,

Quotient is x2+2x+1=0

Compare the equation with quadratic formula,

x2−(Sum  of  root)x+