Find all of the Zeros of a Polynomial by Factoring

The video tutorial explains how to factor a polynomial, specifically a trinomial with a power of four. It covers methods like substitution and synthetic division, and focuses on finding the zeros of the polynomial using the Zero Product Property. The tutorial demonstrates solving for X and identifying zeros, including complex numbers, by taking square roots.

What is the first step to consider when attempting to factor a polynomial?

• Check if it can be graphed

• Determine if it can be factored

• Use synthetic division

• Apply the quadratic formula

When factoring a trinomial with a power of four, what should the middle terms add up to?

• X

• X^3

• X^4

• X^2

Which pair of numbers correctly multiplies to 9 and adds to 10 in the context of the polynomial discussed?

• 9 and 1

• 10 and 0

• 3 and 3

• 5 and 5

What property is used to find the zeros of a polynomial?

• Zero Product Property

• Distributive Property

• Associative Property

• Commutative Property

What are the zeros of the polynomial when dealing with negative square roots?

• ±3 and ±1

• ±3i and ±i

• ±2 and ±i

• ±1 and ±i