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Factoring by GCF. Lesson 8-2. 11.0 Factor polynomials by using the greatest common factor. Objectives -. California Standards. Factoring polynomials. 4x 2 -3x. 4x 2 -3x. x. 4x-3. ( ). Answer: 4x 2 -3x =. Lets try one: 10y 3 +20y 2 -5y. 10y 3 +20y 2 -5y. 5.
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Factoring by GCF Lesson 8-2
11.0 Factor polynomials by using the greatest common factor. Objectives - California Standards
Factoring polynomials 4x2-3x 4x2-3x x 4x-3 ( ) Answer: 4x2-3x =
Lets try one: 10y3+20y2-5y 10y3+20y2-5y 5 2y3+4y2-1y y 2y2+4y-1 Answer:10y3+20y2-5y= ( )
You try: Factor each polynomial • 15a-5a2 2) -4x2-6x • 3) -35x+42 4) 10g3-3g • 5) 12h4+8h2-6h 6) 3x2-9x+3 =5a(3-a) = -2x(2x+3) = 7(-5x+6) = g(10g2-3) = 2h(6h3+4h-3) = 3(1x2-3x+1)
Lesson Quiz: Part I Factor each polynomial. Check your answer. 1. 16x + 20x3 2. 4m4 – 12m2 + 8m Factor each expression. 3. 7k(k – 3) + 4(k – 3) 4. 3y(2y + 3) – 5(2y + 3) 4x(4 + 5x2) 4m(m3 – 3m + 2) (k– 3)(7k + 4) (2y + 3)(3y – 5)
Lesson Quiz: Part II Factor each polynomial by grouping. Check your answer. 5. 2x3 + x2 – 6x – 3 6. 7p4 – 2p3 + 63p – 18 7. A rocket is fired vertically into the air at 40 m/s. The expression –5t2 + 40t + 20 gives the rocket’s height after t seconds. Factor this expression. (2x + 1)(x2 – 3) (7p – 2)(p3 + 9) –5(t2 – 8t – 4)