Write the equation of the polynomial given the zeros

The video tutorial explains how to find a polynomial function when given certain zeros. It covers the conversion of zeros into factors, solving for zeros using the zero product property, and handling complex numbers as roots. The tutorial also demonstrates writing zeros as factors and multiplying them to form a polynomial, emphasizing the difference of two squares for efficient multiplication.

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

• Zeros are the roots of factors.

• Zeros are the product of factors.

• Zeros are unrelated to factors.

• Zeros are the sum of factors.

How do you find a zero from a factor using the zero product property?

• Divide the factor by zero.

• Add the factor to zero.

• Multiply the factor by zero.

• Set the factor equal to zero and solve for the variable.

When given an imaginary number as a root, what must you also include?

• The imaginary number itself.

• The opposite value of the imaginary number.

• The reciprocal of the imaginary number.

• The square of the imaginary number.

What is the result of multiplying two conjugate binomials?

• A constant.

• A cubic expression.

• A quadratic expression with no middle term.

• A linear expression.

What is the final polynomial expression obtained from multiplying the given factors?

• X^3 - 4X^2 - 9X + 36

• X^3 + 4X^2 - 9X + 36

• X^3 + 4X^2 + 9X - 36

• X^3 - 4X^2 + 9X - 36