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Exploring Follow the steps Read the direction carefully and follow it religiously. Given: P(x) = x3 + 5x2 - 5x - 2, D(x) = x

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Exploring Follow the steps Read the direction carefully and follow it religiously. Given: P(x) = x3 + 5x2 - 5x - 2, D(x) = x + 2 Step 1. Equate D(x) to zero then solve for x Step 2. Write the numerical coefficient of P(x) on the right set of boxes and write the value of x from step 1 on the left box. (check the figures below). Step 3. Bring down the first number on the right (the box below has been provided to make sure it is aligned properly). Multiply it with the number on the left box. Place the product on the circle. Step 4. Add the product and the value align to it and place it below the circle. Step 5. Repeat 2 to 4 steps using the value that you get in number 4 until all the values on the right side have been used. Answer the following; 1. What is the last number that you get? Relate this value when dividing real numbers, what do you think is it? 2. What do you think is the purpose of the numbers below the line except the last number? 94}Exploring Up to the standard Arrange the following expressions in decreasing exponents order, then answer the following questions: a. 5x3 - x2 +5 - X b. x3 - 3x2 + 4x4 - 7 C. -2x4 + 3x5 + 4x2 - 7+3x-3x3 d. 5- x3 + 3x4 - x2 + x Answer the following: 1. Which of the given has the highest exponent? 2. Why do you think it is important to arrange the expression in a decreasing exponent? 3. What do we call this expression arranged in a deceasing exponents? 4. What will be the value of each item if we change x to -1? a. b. C. d. 84

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