Find all zeros of ƒ(x) = x^3 + 2x^2 – x – 2. then determine the multiplicity at each zero. state whether the graph will touch or cross the x-axis at the zero.

Zeros: -2, 1, -1

Multiplicity of each zero is 1

The graph crosses the x-axisat each zero.

Step-by-step explanation:

Consider the polynomial function

First, factor this function:

The zero of the function is such value of x at which f(x)=0. Note that f(x)=0 when

This is possible when

Therefore, the function f(x) has three zeros. Each zero is of multiplicity 1 (because each factor has 1st degree)

This means that at each zero the function will crosss the x-axis. (The function will touch the x-axis at its zero when this zero has even multiplicity)

i you goofed up when writing this, because hnot is not a word minusf is not either. i cannot answer   because of that.

step-by-step explanation:

check above link.

graphically?   well, you graph them both, the solutions is where they both intersect each other, since there are two solutions, meaning they will meet twice, or namely the linear will run into the quadratic curve twice, and where they meet, those x,y coordinates are the solutions to the system.