Given One Zero or Factor Find the Remaining Zeros

The video tutorial explains how to find the zeros of a polynomial by using its factors. It begins with an introduction to polynomial zeros and factors, followed by an example using the number 12 to explain factors. The tutorial then demonstrates how to use synthetic division to find polynomial factors and determine the remaining factors. Finally, it shows how to set these factors to zero to find the polynomial's zeros. The video concludes with a call to action for viewer engagement.

What is the role of factors in relation to a polynomial?

• Factors are numbers that add up to the polynomial.

• Factors are the exponents in the polynomial.

• Factors are polynomials that divide the larger polynomial evenly.

• Factors are the coefficients of the polynomial.

Which method is used to quickly divide a polynomial by a binomial factor?

• Integration

• Partial fraction decomposition

• Synthetic division

• Long division

After using synthetic division, what do you obtain that helps in further factoring the polynomial?

• The derivative

• The quotient

• The original polynomial

• The remainder

What is the first step in finding the zeros of a polynomial using its factors?

• Multiply all factors together

• Set each factor equal to zero

• Divide the polynomial by its degree

• Add all factors together

What are the zeros of the polynomial F(x) = 3x^2 + 2x - 19x + 6 given the factors x - 2 and x + 3?

• x = 2, -3, 1/3

• x = 2, 3, -1/3

• x = -2, 3, 1/3

• x = -2, -3, 1/3