Factoring Trinomials With Large Numbers

TL;DR

Learn how to factor trinomials with large numbers by making a list of possible factors and finding the ones that add or subtract to the middle coefficient.

Transcript

in this video we're going to focus on the factoring trinomials with very large numbers so let's try this one how can we factor the expression x squared plus 20x plus 96 what would you do to factor this particular example so we need to find two numbers that multiply to 96 both that add to 20 now if you don't see what the two numbers are immediately ... Read More

Key Insights

• #️⃣ Factoring trinomials with large numbers requires finding two numbers that multiply to the last coefficient and add or subtract to the middle coefficient.
• 🧑‍🏭 Making a list of possible factors and systematically testing each pair is an effective way to find the correct factors.
• 😑 Checking your factoring by multiplying the factors and simplifying the expression can ensure its accuracy.

Questions & Answers

Q: How can you factor trinomials with large numbers?

To factor trinomials with large numbers, start by finding two numbers that multiply to the last coefficient and add or subtract to the middle coefficient. Make a list of possible factors and divide the last coefficient by different numbers to find potential pairs. Test each pair by multiplying them and checking if they add or subtract to the middle coefficient. Once you find the correct pair, write them as an expression with "X" and simplify if necessary.

Q: What is the benefit of making a list when factoring trinomials with large numbers?

Making a list of possible factors helps to organize the process of finding the correct pair of factors. By starting with 1 and increasing the numbers, you can systematically test each pair and find the one that adds or subtracts to the middle coefficient. It helps to stay organized and avoid missing any potential factors.

Q: How can you check if your factoring is correct?

You can check if your factoring is correct by multiplying the two factors you found and checking if they give you the original trinomial. Multiply the two factors together and simplify the expression. If it matches the original trinomial, then your factoring is correct.

Q: What should you do if the leading coefficient is not 1 in a trinomial?

If the leading coefficient is not 1 in a trinomial, you should start by multiplying the leading coefficient with the last coefficient. This will give you a larger number to work with in finding the factors. Then, follow the same steps of making a list, dividing by different numbers, and testing for pairs that add or subtract to the middle coefficient.

Summary & Key Takeaways

• To factor trinomials with large numbers, find two numbers that multiply to the last coefficient and add or subtract to the middle coefficient.

• Start by making a list of possible factors and divide the last coefficient by various numbers to find potential pairs.

• Test each pair by multiplying them and checking if they add or subtract to the middle coefficient.

• Once you find the correct pair of factors, write them as an expression with "X" and simplify if necessary.