What are zeros of a polynomial

The video tutorial explains the concept of zeros in polynomials, emphasizing their significance when the graph of a polynomial crosses the X-axis, where the output value is zero. It covers the graphical representation of zeros, the importance of understanding input and output values, and the process of solving for zeros by factoring equations. The tutorial provides a step-by-step guide to finding zeros using the Zero Product Property, highlighting the differences in input values for different equations.

What is the significance of the X-axis in relation to the zeros of a polynomial?

• It is where the polynomial's output is always positive.

• It represents the maximum value of the polynomial.

• It is where the polynomial's output value is zero.

• It represents the minimum value of the polynomial.

Why is it important to identify the zeros of a polynomial?

• To find the minimum value of the polynomial.

• To find the maximum value of the polynomial.

• To determine where the graph crosses the X-axis.

• To calculate the slope of the polynomial.

What is the first step in finding the zeros of a polynomial by factoring?

• Graph the polynomial.

• Set the polynomial equal to a non-zero value.

• Set the polynomial equal to zero.

• Differentiate the polynomial.

What property is used to find the zeros after factoring a polynomial?

• Zero Product Property

• Associative Property

• Commutative Property

• Distributive Property

After factoring a polynomial, what do you do to find the zeros?

• Set each factor equal to zero and solve for X.

• Add all the factors together.

• Multiply all the factors by zero.

• Divide each factor by the highest degree term.