How to solve a polynomial to the 4th power by factoring

The video tutorial explains how to factor polynomials raised to the power of 4 by treating them like quadratics and then raising the powers. It discusses identifying zeros and using linear factorization, highlighting the repetition of factors and their multiplicity. The tutorial concludes with a caution to ensure understanding of the factorization process.

What is the first step in factoring a polynomial raised to the power of 4?

• Use the difference of cubes

• Treat it as a linear equation

• Apply the binomial theorem

• Factor it like a quadratic equation

When identifying zeros of a polynomial, what does multiplicity refer to?

• The number of different zeros

• The degree of the polynomial

• The number of times a zero is repeated

• The sum of all zeros

How can a polynomial be expressed to better understand its zeros?

• As a difference of cubes

• As a product of linear factors

• As a sum of squares

• As a single monomial

What is the result of factoring X^4 - 2X^2 + 1?

• (X - 1)^4

• (X + 1)^4

• (X - 1)^2 * (X + 1)^2

• (X^2 - 1)^2

What is the multiplicity of the zeros in the polynomial X^4 - 2X^2 + 1?

• Three

• Four

• One

• Two