Learn to Find all the Solutions by Factoring Higher Order Polynomial

The video tutorial explains solving a polynomial equation with five solutions. It begins by introducing the concept of factoring polynomials and emphasizes the importance of identifying the greatest common factor (GCF). The instructor demonstrates how to treat higher power polynomials as quadratics for easier factorization. Mistakes in the process are corrected, and the zero product property is applied to find all solutions. The tutorial concludes with a review of the solutions obtained.

What is the expected number of solutions for a polynomial equation of degree five?

• Five

• Three

• Two

• Seven

What is the first step in factoring a polynomial equation?

• Add the coefficients

• Multiply the terms

• Identify the greatest common factor

• Set the equation to zero

When factoring a polynomial, what should you do after identifying the GCF?

• Solve for the variable

• Add the terms

• Rewrite the equation as a product

• Divide by the highest power

Which two numbers multiply to give -28 and add to give -3?

• -4 and 7

• 4 and -7

• 7 and -4

• -7 and 4

What is the result when you solve X^2 = -4?

• X = ±4i

• X = ±4

• X = ±2i

• X = ±2