Given Two Factors and a Polynomial Find the Remaining Zeros

The video tutorial explains how to find the remaining zeros of a polynomial when given two factors. It introduces the concept of rewriting factors as zeros and using synthetic division to find other factors. The process involves taking coefficients, applying synthetic division, and ensuring a remainder of zero. The tutorial also covers using synthetic division again with a new factor and further factoring the polynomial to find all zeros. The zero product property is applied to determine the zeros of the polynomial.

What is the relationship between factors and zeros of a polynomial?

• Zeros are the exponents in the polynomial.

• Factors are the coefficients of the polynomial.

• Zeros are the values that make the factors zero.

• Factors are the same as zeros.

What is the purpose of synthetic division in finding polynomial zeros?

• To multiply the polynomial by its factors.

• To divide the polynomial by its zeros.

• To find the remaining factors of the polynomial.

• To add the polynomial to its factors.

What should you do if the remainder is not zero after synthetic division?

• Continue with the next step.

• Ignore the remainder.

• Check your work for errors.

• Multiply the remainder by the divisor.

How can you find all the zeros of a polynomial after factoring?

• By multiplying all the factors.

• By setting each factor equal to zero.

• By adding all the factors together.

• By dividing the polynomial by its degree.

Which property is used to find zeros from the factors of a polynomial?

• Zero Product Property

• Associative Property

• Commutative Property

• Distributive Property