Factoring a Quadratic to Factor a Polynomial

The video tutorial covers various factoring techniques for polynomials, starting with quadratics and moving to cubic and higher order polynomials. It explains how to find zeros and multiplicity, and emphasizes the importance of factoring out common terms. The tutorial also discusses the application of the zero product property and the difference of squares method, providing examples to illustrate these concepts.

What are the zeros of the quadratic polynomial with coefficients -5, 4, and 1?

• x = 5 and x = -5

• x = 2 and x = -2

• x = -4 and x = -1

• x = 4 and x = 1

What is the multiplicity of the zeros in the quadratic example discussed?

• 4

• 1

• 2

• 3

When factoring a cubic polynomial, what should you first look for?

• Common x variable

• Quadratic form

• Binomial factors

• Graphical representation

What is the result of factoring out an x from a cubic polynomial?

• x squared plus 5x minus 4

• x cubed minus 5x plus 4

• x squared minus 5x plus 4

• x cubed plus 5x minus 4

What should you do when you encounter a polynomial raised to the fourth power?

• Ignore the power

• Graph the polynomial

• Use quadratic formula

• Factor out common terms

How can a trinomial be factored when it is raised to the fourth power?

• By graphing

• Using the quadratic formula

• As a binomial times a binomial

• Using synthetic division

What is the correct method to factor x squared minus 4?

• Completing the square

• Quadratic formula

• Difference of two squares

• Synthetic division

What is the multiplicity of the zero at x = 0 in the advanced example?

• 2

• 1

• 3

• 4

What happens to the graph at a zero with an odd multiplicity?

• It crosses the x-axis

• It touches but does not cross

• It remains above the x-axis

• It remains below the x-axis

In the final example, what is the multiplicity of the zeros at plus or minus 2?

• 1

• 2

• 3

• 4