Question

Find all other zeroes of the x^4+x^3-23x^2-3x+60 given that the two zeroes are root3 and -root3​

Answer 1

Answer:

polynomial (x2 + 3x − 10) and verify the relation between its zeros and coefficients.

ANSWER:

We have: f(x)=x2+3x−10 =x2+5x−2x−10 =x(x+5)−2(x+5) =(x−2)(x+5) ∴f(x)=0=>(x−2)(x+5)=0 =>x−2=0 or x+5=0 =>x=2 or x=−5 So, the zeroes of f(x)are 2 and−5. Sum of the zeroes = 2+(−5)= −3=

−3

1

=

−(coefficient of x)

(coefficient of x2)

Product of the zeroes= 2× (−5) = −10 =

−10

1

Answer 2

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