Obtain all other zeroes of 3x⁴ + 6x³ – 2x² – 10x – 5, if two of its zeroes
are √
5
3
and −√
5
3
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Class 10>>Maths>>Polynomials>>Relationship between Zeroes and Coefficients of a Polynomial>>Obtain all other zeroes of 3x^4 + 6x^3 -
Question
Obtain all other zeroes of 3x4+6x3−2x2−10x−5, if two of its zeroes are 35 and −35.
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Solution
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
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