Question

Find zeroes of cubic polynomial P(x)=x3-4x using by graph

Answer 1

SOLUTION

TO DETERMINE

The zeroes of cubic polynomial

$\sf{}P(x) = {x}^{3} - 4x$

using by graph

EVALUATION

For a polynomial p(x) the zeros of p(x) are those values of x for which p(x) = 0

Graphically it can interpreted as, the zero of a polynomial p(x) are the value of x where it cuts X axis

Number of zeroes are calculated as how many times the polynomial cuts X axis

For the given polynomial

$\sf{}P(x) = {x}^{3} - 4x$

P(x) cuts X axis thrice at x = - 2, 0 , 2

So P(x) has three zeroes

Hence the zeroes of polynomial

P(x) are - 2, 0 , 2

GRAPH

For graph refer to the attachment

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