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Lesson 308 of 1524

8.8 Rewriting Quadratic Expressions in Factored Form, Part 3

Rewrite a quadratic expression of the form x 2 - c into its factored form

Practice this chapter

Rewrite a quadratic expression of the form x 2 - c into its factored form You also learned that some binomials of the form x 2 + c do not have a factored form

Finding a product mentally can be done by changing the way you look at a multiplication problem

Be able to explain why multiplying binomials that are a sum and a difference, ( x + m ) ( x - m ) , results in a quadratic expression with no linear term; compute 80 2 and 3 2 , which gives 6400 and 9. Add these values to get 6409; compute 80 · 3 , which is 240. Double it to get 480.

Worked example

What does this chapter state?

  1. 1Rewrite a quadratic expression of the form x 2 - c into its factored form
  2. 2That claim is the chapter’s own statement.
  3. 3Answer from the claim, not from where the chapter sits in the book.

Result: Rewrite a quadratic expression of the form x 2 - c into its factored form

Why. The sentence is taken from this chapter’s summary or key concepts.

Answer with the meaning this chapter gives. A nearby idea from the same book is a different term.

Practice margin

This chapter

A fresh set from this chapter only. Choose 10 or 20. Multiple choice and fill-in, with no repeat inside the set.