Given complex zeros write the polynomial

The video tutorial covers the concept of zeros and X intercepts in polynomials, explaining how these are used to find polynomial functions. It introduces the conjugate root theorem for complex numbers and demonstrates the zero product property. The tutorial also covers techniques for multiplying polynomials, including the box method and the difference of squares, and emphasizes the importance of following the order of operations.

What is the significance of zeros in a polynomial function?

• They are the points where the function is undefined.

• They determine the maximum value of the function.

• They are the points where the function equals zero.

• They indicate the slope of the function.

According to the conjugate root theorem, what must be included when a complex number is a root?

• The square of the complex number

• The reciprocal of the complex number

• The negative of the complex number

• The conjugate of the complex number

What does the zero product property help us determine in a polynomial?

• The leading coefficient of the polynomial

• The degree of the polynomial

• The constant term of the polynomial

• The zeros of the polynomial

What is the purpose of using the box method in polynomial multiplication?

• To find the derivative of the polynomial

• To simplify the polynomial

• To organize and simplify the multiplication of terms

• To determine the degree of the polynomial

When multiplying two binomials, what is a quick method to use if they are conjugates?

• Use the binomial theorem

• Use the difference of squares formula

• Use the sum of cubes formula

• Use the quadratic formula

What is the result of multiplying i squared by a negative number?

• Zero

• A negative number

• A positive number

• An imaginary number

What is the final polynomial obtained from the given zeros in the video?

• X^5 - 6X^3 + 1

• X^2 + 3X + 2

• X^3 + 4X - 5

• X^4 + 5X^2 - 6