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March 25, 2014
March 25, 2014
March 25, 2014
March 25, 2014
March 25, 2014
March 25, 2014
March 25, 2014
March 25, 2014
March 25, 2014
March 25, 2014
March 25, 2014
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March 25, 2014

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  • 1. Tomorrow: 1. Factoring ax2 + bx + c Trinomials 2. Factoring Difference of Squares Today: 1. Khan Topics & Test Date 2. Warm-Up 3. Factoring Perfect Square Trinomials 2. Factoring Difference of Squares 25th
  • 2. Khan Academy Topics: Due March 30 (Alt. due March 31) 1. Factoring Difference of squares 3 2. Factoring Polynomials with 2 variables 3. Factoring Quadratics 2 Factoring Test: Friday, March 28 Only the following methods will be covered for this test: 1. GCF 2. Factor by Grouping 3. Factor x2 + bx + c Trinomials 4. Perfect Square Trinomials
  • 3. Khan Academy Topics for this week: Warm-Up Section of Notebook: Thursday: Factoring Quadratics 2
  • 4. Warm-Up: Factoring Practice(8) 3. 4x³ - 4x 7. (2x-1)(x-2) 1. (x+9)(x-8) 2. 36x² - 25 2. (6x - 5)(6x + 5) 3. 4x(x+1)(x-1) 4. 21x³ + 28x²y² 7. 2x² - 5x + 4 1. x² + x - 72 4. 7x²y(3x+4y) Factor each expression completely: 5. (x + 4)² 5. (x² + 8x + 16) The polynomial in # 2 is called a ______ polynomial The polynomial in # 5 is called a ______ polynomial 6. (3a – 2b)² The polynomial in # 6 is called a ______ polynomial 6. (9a² – 12ab - 4b²) Class Notes Section of your Notebook: 8. x² - 9x + 12 Prime
  • 5. Factoring Perfect Square Trinomials Let's look at #'s 5 & 6 from the warm – up: 5. (x + 4)² When multiplied, we find that (x + 4) (x + 4) are factors of (x² + 8x + 16). This type of polynomial is known as a Perfect Square Trinomial 1. PST's have a square in the first & third terms 2. The factors of PST's are always either the square of a sum (x + y)², or the square of a difference (x + y)² 3. We arrive at the trinomial by performing a " square, double, square" on the factor. To factor then, we do the opposite, which is a sq. root, halve, sq. root. to arrive at the factors.
  • 6. FACTORING PERFECT SQUARE TRINOMIALS x2 + 4x + 4 sq. root(x) + half (2) + sq. root(2) (3x - 4)2 (x + 2)2 Is this a perfect square trinomial? sq. root (3x) + half (12) + sq. root(4) Always be aware of possible perfect square trinomials (9x2 -24x + 16
  • 7. 1) Factor out the GCF first 2) Look for a difference of squares 3) Look for a perfect square trinomial 4) Look for a pair of binomial factors 5) If a polynomial has 4 or more terms, look for a way to factor by grouping 6) Make sure you can’t factor any further 7) Check your work! GUIDE TO FACTORING COMPLETELY 2 2 ( )( )a b a b a b 2 2 2 2 ( ) ora ab b a b 2 2 2 2 ( )a ab b a b
  • 8. 1. Questions From Friday's Class/Home Work? 2. Today's Class Work

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