Factoring | Summary and Q&A

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December 20, 2019
by
The Organic Chemistry Tutor
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Factoring

TL;DR

The video explains how to factor trinomials with large coefficients using the quadratic formula and identifying perfect square trinomials.

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Questions & Answers

Q: How can we factor trinomials with large coefficients?

Trinomials with large coefficients can be factored using the quadratic formula to find the solutions for x and then converting them back into factored form.

Q: Is there an easier way to factor trinomials with large coefficients?

Yes, perfect square trinomials can be identified by taking the square root of the coefficients and factored accordingly.

Q: Can you explain how to factor a trinomial using the quadratic formula?

To factor a trinomial using the quadratic formula, substitute the coefficients of the trinomial into the formula and solve for x. The solutions for x can then be converted back into factored form.

Q: What is the process for factoring a trinomial?

The process for factoring a trinomial involves finding two numbers that multiply to the constant term and add up to the coefficient of the linear term, or using the quadratic formula to find the solutions for x.

Summary & Key Takeaways

  • Factoring trinomials with large coefficients can be challenging and time-consuming using traditional methods.

  • The video introduces using the quadratic formula to factor trinomials by finding the solutions for x and converting them back into factored form.

  • Perfect square trinomials can also be identified and factored using the square root of the coefficients.

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