Question

16. Find all zeroes of the polynomial
x ki power 4+x cube–9x square–3x+18 if it is given that two of its zeroes are –underoot 3 and underoot3

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Answer 1

Answer:

polynomial : x^4+x^3-9x^2-3x+18=0

Step-by-step explanation:

two zeroes are underoot 3 and - underoot 3 or

(x-

underoot 3) and (x + underoot 3)

multiplying both, we get

x^2-3

now, by dividing the given polynomial by( x^2-3),we get

x^2+x-6

by using splitting the middle term

x^2+3x-2x-6

x (x+3)-2 (x+3)

(x+3)(x-2)

so the other two roots are -3 and 2