Math, asked by gmadhavi0886, 12 hours ago

what are the sum and product of zeros of polynomial 4√5x² - 24x - 9√5​

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Answered by ankitrock
0

Answer:

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Step-by-step explanation:

It is given that 2+3,2−3 are two zeroes of the polynomial f(x)=2x4−9x3+5x2+3x−1

∴(x−(2+3))(x−(2−3))=(x−2−3)(x−2+3)

=(x−2)2−(3)2

=x2−4x+4−3

=x2−4x+1

∴(x−(2+3))(x−(2−3))=x2−4x+1 is a factor of f(x)

Now divide f(x) by x2−4x+1

∴f(x)=(x2−4x+1)(2x2−x−1)

Hence, the other two zeroes of f(x) are the zeroes of the polynomial 2x2−x−1

2x2−x−1=(2x+1)(x−1)

Hence, the other two zeroes are −21,1.

Answered by chaurasiaaradhya60
0

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