Question

How many terms terms in given polynomial P(x)=-10x^2+35000x-6000

Answer 1

Answer:

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>>Division Algorithm for Polynomials

>>If two zeroes of the polynomial x^4 - 6

Question

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If two zeroes of the polynomial x

4

−6x

3

−26x

2

+138x−35 are 2±

3

, find the other zeroes.

Hard

Solution

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The two zeroes of the polynomial is 2+

3

,2−

3

Therefore, (x−2+

3

)(x−2−

3

)=x

2

+4−4x−3

= x

2

−4x+1 is a factor of the given polynomial.

Using division algorithm, we get

x

4

−6x

3

−26x

2

+138x−35=(x

2

−4x+1)(x

2

−2x−35)

So, (x

2

−2x−35) is also a factor of the given polynomial.

x

2

−2x−35=x

2

−7x+5x−35

=x(x−7)+5(x−7)

=(x−7)(x+5)