Given One Zero or Factor Find the Remaining Zeros

The video tutorial explains the concept of zeros in polynomials, which are the solutions or roots of the equation. It demonstrates how to use synthetic division to find factors of a polynomial and determine its zeros. The tutorial further explores factoring techniques to find all zeros, including using the quadratic formula if necessary. The solutions are presented as the zeros of the polynomial, providing a comprehensive understanding of the process.

What are zeros in the context of a polynomial equation?

• The coefficients of the polynomial

• The solutions or roots of the polynomial

• The degree of the polynomial

• The constant term of the polynomial

How can a zero be expressed in terms of a polynomial factor?

• As a constant term

• As a factor that divides the polynomial

• As a product of coefficients

• As a sum of terms

What is the first step in synthetic division?

• Subtract the divisor from the dividend

• Multiply the divisor by the dividend

• Bring down the leading coefficient

• Add the coefficients

What does a remainder of zero indicate in synthetic division?

• The divisor is not a factor of the polynomial

• The divisor is a factor of the polynomial

• The polynomial has no real zeros

• The polynomial is prime

Which method can be used to find the remaining zeros of a polynomial after synthetic division?

• Calculating the integral

• Using the binomial theorem

• Finding the derivative

• Using the quadratic formula