5.1.3 Finding Zeros and X-Intercepts (factored form)

To find the zeros of a quadratic means to set the expression equal to zero and solve for x, which gives the x-intercepts of the graph.

To find the x-intercept, set each factor equal to zero and solve for x.

The x-intercepts are $$x=\frac{1}{2}$$ and $$x=-3$$ .

The solutions are $$x=5$$ and $$x=1$$ .

The zeros are $$x=0$$ and $$x=5$$ .

The x-intercept is the point where the graph crosses the x-axis, meaning the value of y is zero.

The zeros are $$x=a$$ and $$x=b$$ .

Finding zeros helps identify the points where the graph intersects the x-axis, which is important for graphing and understanding the function's behavior.

You can verify the zeros by substituting them back into the original equation to see if they yield zero.

The factors of a quadratic equation correspond to its zeros; each factor gives a zero when set to zero.