Question

Find the zeros for the polynomial function and give the multiplicity for each zero. State whether the graph crosses the​ x-axis or touches the​ x-axis and turns​ around, at each zero.

​f(x)=x^3+x^2−6x

Answer 1

f(x)=x^3+x^2−6x it is x=kx, equals, start color #01a995, k, end color #01a995 is a root, or solution, of the equation f(x)=0f(x)=0f, left parenthesis, x, right parenthesis, equals, 0

\tealD kkstart color #01a995, k, end color #01a995 is a zero of function fff

(\tealD k,0)(k,0)left parenthesis, start color #01a995, k, end color #01a995, comma, 0, right parenthesis is an xxx-intercept of the graph of y=f(x)y=f(x)y, equals, f, left parenthesis, x, right parenthesis

x-\tealD kx−kx, minus, start color #01a995, k, end color #01a995 is a linear factor of f(x)f(x)

Step-by-step explanation: