Given a Factor Find the Quotient and Write as a Product of Factors

The video tutorial explains how to use synthetic division with X + 2 as a factor, identifying zeros and factorizing polynomials. It highlights the process of applying the zero product property and addresses challenges when polynomials are not easily factorable, suggesting the use of specific formulas to overcome these issues.

What is the first step in applying synthetic division to a polynomial?

• Bring down the first number

• Add all coefficients

• Divide the first term by the divisor

• Multiply the first term by the divisor

What does it mean if X - 2 is a factor of a polynomial?

• The polynomial is not factorable

• The polynomial has a zero at X = -2

• The polynomial has a zero at X = 2

• X + 2 is also a factor

How can you find all zeros of a polynomial?

• By adding all coefficients

• By dividing the polynomial by its degree

• By setting the product of factors equal to zero

• By multiplying all terms

What issue arises when a polynomial is not factorable?

• It has infinite solutions

• It has no real zeros

• A specific formula must be used

• It cannot be divided

What should you do if a polynomial is not factorable using standard methods?

• Multiply by a constant

• Divide by zero

• Use a formula taught by Miss Mclogan

• Ignore the polynomial