Finding all of the zeros of a function<br />By: Ashley Ezell<br />
Step One<br />Factor the function with synthetic division<br />F(x)=X3-6x2+11x-6<br />1_| 1		-6	11	-6<br />		 1	 -5	 6<br ...
Step Two<br />Do a diamond/box problem to factor this function<br />Diamond of 6x2 at the top and -5x on the bottom is -3x...
Step Two cont.<br />An easier way to do this step is to use the quadratic formula-Only if function is set up as ax2+bx+c<b...
Step 3Identify Zero’s <br />2 ± i, 2<br />F(x)= (x-2)(x-2+i)(x-2-i)<br />↑ 	  ↑         ↑<br />	       Opposite sign!<br /...
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Bingo 1 precal

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Bingo 1 precal

  1. 1. Finding all of the zeros of a function<br />By: Ashley Ezell<br />
  2. 2. Step One<br />Factor the function with synthetic division<br />F(x)=X3-6x2+11x-6<br />1_| 1 -6 11 -6<br /> 1 -5 6<br /> 1 -5 6 0<br />F(x)= 1x2-5x+6<br />
  3. 3. Step Two<br />Do a diamond/box problem to factor this function<br />Diamond of 6x2 at the top and -5x on the bottom is -3x and -2x<br />When you plug these numbers in the box you get x-3 and x-2, set these equal to zero and they become positive<br />
  4. 4. Step Two cont.<br />An easier way to do this step is to use the quadratic formula-Only if function is set up as ax2+bx+c<br />Ex. X2-4x+5 <br />Quadratic formula: X= -b±√(b)2-4(a)(c)<br /> 2(a)<br />-(-4) ±√(-4)2-4(1)(5) = 4 ± √-4<br /> 2(1) 2<br />simplify: 2 ± i<br />
  5. 5. Step 3Identify Zero’s <br />2 ± i, 2<br />F(x)= (x-2)(x-2+i)(x-2-i)<br />↑ ↑ ↑<br /> Opposite sign!<br />GRAPH!!!<br />

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