Question

Y is equal to x cube minus 5 x square + 6 x find the zero of the polynomial

Answer 1

Answer:

The zeros of the given polynomial are 0, 2 and 3

Step-by-step explanation:

The zeros of the given polynomial are found by factorization

Given:

$y=x^3-5x^2+6x$

Take out x common from each term

$y=x(x^2-5x+6)$

By factorization of quadratic polynomial

$y=x(x-3)(x-2)$

$\bf\,y=(x-0)(x-3)(x-2)$

Hence, zeros of the given polynomial are 0, 2 and 3