Question

listenwhich statement describes how factoring is considered a crucial step in identifying zeros of a polynomial?choose the correct answer from the choices.factoring is necessary to determine the polynomials coefficients.factoring changes the leading coefficient of the polynomial.factoring helps in determining the degree of the polynomial.factoring simplifies the polynomial, making finding points where the graph crosses the $x$-axis.

Explanation:

Zeros of a polynomial are the x-values where the polynomial equals 0, which correspond to points where its graph crosses the x-axis. Factoring rewrites the polynomial as a product of simpler expressions, allowing us to use the zero product property (if $ab=0$, then $a=0$ or $b=0$) to solve for these x-values. The other options are incorrect: factoring does not change coefficients, leading coefficients, or the degree of the polynomial, and it is not used to find these properties.

Answer:

Factoring simplifies the polynomial, making finding points where the graph crosses the $x$-axis.