How To Solve a Polynomial Equation Raised to the Fourth Power

The video tutorial explains how to set up and solve a quartic trinomial equation by factoring. It begins with setting the equation to zero, ensuring the leading coefficient is positive, and then proceeds to factor the quartic trinomial. The tutorial emphasizes the importance of recognizing the degree of the polynomial and solving the factored equation by finding its roots, including simplifying square roots and considering plus or minus signs.

Why is it important to set an equation to zero before factoring?

• It allows for easier identification of roots.

• It changes the degree of the polynomial.

• It makes the leading coefficient positive.

• It simplifies the equation.

What is the degree of a quartic polynomial?

• 2

• 3

• 5

• 4

When factoring a quartic trinomial, what form is it rewritten into?

• Exponential form

• Cubic form

• Quadratic form

• Linear form

What should you remember when taking the square root of a number?

• Only consider the positive root.

• Only consider the negative root.

• Ignore the square root.

• Consider both positive and negative roots.

How can sqrt(8) be simplified?

• 2 sqrt(2)

• sqrt(4)

• sqrt(16)

• 4 sqrt(2)