# College Algebra Tutorial 18

College Algebra
Tutorial 18: Solving Polynomial Equations by Factoring

WTAMU > Virtual Math Lab > College Algebra > Tutorial 18: Solving Polynomial Equations by Factoring

Step 1: Simplify each side if needed.

This polynomial equation is already simplified.

Step 2: Write in standard form, , if needed.

This polynomial equation is already in standard form.

Step 3: Factor.

*Poly. eq. in standard form
*Factor out the GCF
*Factor a  diff. of squares

Step 4:  Use the Zero-Product Principle

AND

Step 5: Solve for the equation(s) set up in step 4.

*Use Zero-Product Principle
*Set 1st factor = 0 and solve

*Set 2nd factor = 0 and solve

*Set 3rd factor = 0 and solve

There are two solutions to this polynomial equation: x = 0, x = -5 and x = 5.

Step 1: Simplify each side if needed.

This polynomial equation is already simplified.

Step 2: Write in standard form, , if needed.

*Inverse of add. 16y and sub. 48 is sub. 16y and add. 48
*Poly. eq. in standard form

Step 3: Factor.

*Poly. eq. in standard form
*Factor by grouping
Step 4:  Use the Zero-Product Principle

AND

Step 5: Solve for the equation(s) set up in step 4.

*Use Zero-Product Principle
*Set 1st factor = 0 and solve

*Set 2nd factor = 0 and solve

*Set 3rd factor = 0 and solve

There are two solutions to this polynomial equation: y = 3, y = -4 and y = 4.