Question

Obtain all other zeroes of 3x⁴ + 6x³ – 2x² – 10x – 5, if two of its zeroes

are √

5

3

and −√

5

3​

Answer 1

Step-by-step explanation:

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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.

Medium

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