Question

find all the zeroes of the polynomial 2x3-x2-5x-2 if two of its zeroes are -1 and 2​

Answer 1

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Find all the zeros of the polynomial x4 + x3 - 34x2 - 4x + 120, if two of its zeros are 2 and -2.







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Chapter 2.Polynomials

Question NO.287

Question

Find all the zeros of the polynomial x4 + x3 - 34x2 - 4x + 120, if two of its zeros are 2 and -2.

Answer

Given polynomial is x4 + x3 - 34x2 - 4x + 120

Since, the two zeroes of the polynomial given is 2 and -2

So, factors are (x + 2)(x - 2) = x2 + 2x - 2x - 4 = x2 - 4



dividend = divisor × quotient + remainder

dividend= x4 + x3 - 34x2 - 4x + 120

divisor = x2 - 4

quotient = x2 + x - 30

remainder = 0

So, x4 + x3 - 34x2 - 4x + 120 = (x2 - 4)(x2 + x - 30)

= (x - 2)(x + 2)(x2 + 6x - 5x - 30)

= (x - 2)(x + 2)(x + 6)(x - 5)

Therefore, the zeroes of the polynomial = x = 2, -2, -6, 5

Answer 2

Answer:

Step-by-step explanation:

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