Question Video: Factorizing Trinomials by Taking the Highest Common Factor | Nagwa Question Video: Factorizing Trinomials by Taking the Highest Common Factor | Nagwa

Question Video: Factorizing Trinomials by Taking the Highest Common Factor Mathematics • Second Year of Preparatory School

Completely factor 4𝑥² − 32𝑥 + 28.

00:42

Video Transcript

Completely factor four 𝑥 squared minus 32𝑥 plus 28.

First thing we can do is take out a greatest common factor of four. Because four, 32, and 28, the highest number that can come out from all of them is four.

Now we need to come up with numbers that multiply to be seven and add to be negative eight. Numbers that multiply to be seven are one and seven and negative one and negative seven, so which ones would add to be negative eight? That would be negative one and negative seven. Therefore, our factors would be 𝑥 minus one and 𝑥 minus seven. So our final answer would be four times 𝑥 minus one times 𝑥 minus seven.

Join Nagwa Classes

Attend live sessions on Nagwa Classes to boost your learning with guidance and advice from an expert teacher!

  • Interactive Sessions
  • Chat & Messaging
  • Realistic Exam Questions

Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy