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MTH 065 Elementary Algebra II

MTH 065 Elementary Algebra II. Chapter 6 – Polynomial Factorizations and Equations Section 6.4 – Equations Containing Perfect-Square Trinomials and Differences of Squares. Squaring a Binomial. Do you see a pattern?. Squaring a Binomial.

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MTH 065 Elementary Algebra II

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  1. MTH 065 Elementary Algebra II Chapter 6 – Polynomial Factorizations and Equations Section 6.4 – Equations Containing Perfect-Square Trinomials and Differences of Squares

  2. Squaring a Binomial Do you see a pattern?

  3. Squaring a Binomial • Squaring a binomial produces a trinomial with the following terms … • Square of the first term. • Twice the product of the two terms. • Square of the second term. Common Mistake: (r + s)2 ≠ r2 + s2

  4. Recognizing and Factoring aPerfect Square Trinomial: ax2 + bx + c • a is a perfect square: a = m2 • c is a perfect square: c = n2 • b = 2mn • If so, it factors as … • (mx + n)2if b is positive • (mx – n)2if b is negative

  5. Multiplying a Sumand Difference Do you see a pattern?

  6. Multiplying a Sumand Difference • Multiplying a sum and difference produces a binomial with the following terms … • Square of the first term. • Square of the second term. … with subtraction in the middle.

  7. Recognizing and Factoringa Difference of Two Squares

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