Finding all the Solutions of a Higher Order Polynomial by Factoring

The video tutorial explains how to factor complex trinomials, especially those raised to higher powers. It begins with identifying common factors and progresses to factoring quadratic trinomials. The tutorial then adapts these techniques for trinomials raised to the fourth power, emphasizing the importance of rewriting expressions. Finally, it applies the zero product property to solve equations, demonstrating the process step-by-step.

What is the first step in factoring a polynomial?

• Rewrite the polynomial as a trinomial

• Use the zero product property

• Apply the quadratic formula

• Look for common factors

When simplifying a trinomial raised to the fourth power, what should you initially rewrite it as?

• A linear equation

• A quadratic trinomial

• A cubic polynomial

• A constant term

Which two numbers multiply to give 8 and add to give -6 in the trinomial X^2 - 6X + 8?

• 2 and 4

• 1 and 8

• -2 and -4

• -1 and -8

What power should the X terms be raised to in order to achieve X^4 when factoring X^2 - 6X + 8?

• Second power

• Fourth power

• Third power

• First power

What property is applied after factoring to solve the equation set to zero?

• Commutative property

• Zero product property

• Distributive property

• Associative property