Question

Find the zeroes of the polynomial f(x) = xcube-5xsquare-2x+24

Answer 1

here is ur answer

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Answer 2

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Zeroes are -2, 3 and 4

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step-by-step explanation:

Let the given eqn be

p(x) = ${x}^{3}-5{x}^{2}-2x+24= 0$

now,

since it is a cubic equation,

therefore ,

we have ti use hit n trial method to find one of the roots,

we get,

3 satisfied this Equation,

therefore,

(x-3) is a factor of this Equation.

now,

Dividing the Equation with (x-3),

we get,

further the other quadratic equation,

and,

then,

the other roots are calculated.

finally the roots of are

-2, 3 and 4

Note:-

All the steps are in attachment,

Kindly refer to it.