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HelloKitty17

  • one year ago

Some steps to rewrite the expression x3 - 16x + x2 - 16 as a product of three factors are shown below: Step 1: x3 - 16x + x2 - 16 Step 2: x3 + x2 - 16x - 16 Step 3: x2(x + 1) - 16(x + 1) Which of the following best shows the next two steps to rewrite the expression? a. Step 4: (x2 + 16)(x + 1); Step 5: (x + 4)(x + 4)(x + 1) b.Step 4: (x2 - 16)(x + 1); Step 5: (x + 4)(x + 4)(x + 1) c.Step 4:(x2 - 16)(x + 1); Step 5: (x - 4)(x + 4)(x + 1) d.Step 4: (x2 + 16)(x + 1); Step 5: (x - 4)(x + 4)(x + 1)

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  1. HelloKitty17
    • one year ago
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    @misty1212

  2. misty1212
    • one year ago
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    hmmm

  3. HelloKitty17
    • one year ago
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    it is very hard quetion

  4. misty1212
    • one year ago
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    \[x^2(x+1)-16(x+1)\to (x^2-16)(x+1)\] would be a good first step

  5. misty1212
    • one year ago
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    then factor \(x^2-16\) it is the difference of two squares so it is \(x^2-16=(x+4)(x-4)\)

  6. misty1212
    • one year ago
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    looks like it is C as usual \[c.Step 4:(x2 - 16)(x + 1); Step 5: (x - 4)(x + 4)(x + 1) \]

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