To factor into one number another number note that is the sum of the two

# To factor into one number another number note that is

This preview shows page 26 - 35 out of 43 pages.

To factor: into ( + one number)(+ another number), note that is the sum of the two numbers and is the product of the two numbers So We’ll be looking for the 2 numbers whose product is and whose sum is Note: there are fewer choices for the product, so that’s why we start there first Factoring Trinomials
Example Factor the polynomial Since our two numbers must have a product of 30 and sum of 13, the two numbers must both be positive Note: there are other factors, but once we find a pair that works, we do not have to continue searching. Factoring quadratic polynomials Positive factors of 30 Sum of factors 1 And 30 31 2 And 15 17 3 And 10 13
Example Factor the polynomial Factoring quadratic polynomials
Example Factor the polynomial Since our two numbers must have a product of -35 and Factoring quadratic polynomials
Example Factor the polynomial Since our two numbers must have a product of 10 and Prime polynomials
You should always check your factoring results by multiplying the factored polynomial to verify that is equal to the original polynomial Many times you can detect computational errors in the signs of your numbers by checking your results Check your result!
Example Solve First write the quadratic equation in standard form Now we factor the quadratic We set each factor equal to 0 which will simplify to Solving quadratic equations
Example continued Check both possible answers in the original equation true true So our solutions for are 8 or -3 Solving quadratic equations

#### You've reached the end of your free preview.

Want to read all 43 pages?

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern