Learn How to Write the Linear Factorization and Zeros of a Polynomial to the Fourth Power

The video tutorial covers the process of factoring higher powers, specifically focusing on transforming a polynomial equation into a form that can be solved using the zero product property. The instructor explains how to set up the equation, identify products, and solve for X by applying square roots. The tutorial emphasizes the importance of including both positive and negative solutions when dealing with square roots. Finally, the video demonstrates how to simplify radicals and rewrite the equation as a linear factorization.

What is the main adjustment needed when factoring expressions with X^4 instead of X^2?

• Raising the power of factors

• Changing the variable

• Adding more terms

• Using different coefficients

When solving equations using the zero product property, why is it important to include ± when taking square roots?

• To account for all possible solutions

• To simplify the equation

• To eliminate imaginary numbers

• To reduce calculation errors

What is the result of simplifying the square root of -4?

• -2

• 2i

• 2

• -2i

How can the expression X^2 - 4 * X^2 + 4 be rewritten using linear factorization?

• (X + 2)(X - 2)(X + 2Y)(X - 2Y)

• (X + 4)(X - 4)(X + 4Y)(X - 4Y)

• (X + 1)(X - 1)(X + 1Y)(X - 1Y)

• (X + 3)(X - 3)(X + 3Y)(X - 3Y)

What is the purpose of setting the expression back to X and zero in the context of linear factorization?

• To identify all zeros

• To determine the degree of the polynomial

• To simplify the expression

• To find the coefficients