Factor To Solve a Polynomial by Raising the Power of the Factors to Determine Zeros

The video tutorial covers the process of factoring quadratic equations, starting with replacing variables and identifying common terms. It explains how to rewrite equations into a factorable format and demonstrates the factoring process step-by-step. The tutorial also covers solving equations using the factored form and introduces the concept of complex roots, including how to handle square roots of negative numbers using imaginary numbers.

What is the first step in the process of solving the equation when there are no common terms to factor out?

• Replace Y with zero

• Multiply all terms by two

• Add a constant to both sides

• Divide by the highest power of X

When rewriting the equation X^2 + 3X - 18, what two numbers multiply to -18 and add to 3?

• 9 and -2

• 6 and -3

• 5 and -4

• -6 and 3

What is the factored form of the equation X^2 + 3X - 18?

• (X + 6)(X - 3)

• (X - 6)(X + 3)

• (X + 9)(X - 2)

• (X - 9)(X + 2)

How do you solve for X when you have X^2 + 6 = 0?

• Add 6 to both sides

• Subtract 6 from both sides

• Take the square root of both sides

• Multiply both sides by 6

What is the representation of the square root of -1 in terms of imaginary numbers?

• J

• K

• I

• L