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pablobegins

  • 2 years ago

Polynomials (Question in image)

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  1. pablobegins
    • 2 years ago
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  2. Study23
    • 2 years ago
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    First, substitute 5 for x in the 2 equations: \(\ \Huge (5)+6; 9(5)+6).\)

  3. Study23
    • 2 years ago
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    do you follow me?

  4. pablobegins
    • 2 years ago
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    yes

  5. pablobegins
    • 2 years ago
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    wouldn't it be easier to multiply with x; create the polynomial, then substitute?

  6. Study23
    • 2 years ago
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    Perhaps, but there is less room for error using this method. I'll show you how find the polynomial, as well. Now, the Volume is Height x Width x Length: So the volume is: \[\ 8\times11\times51= Volume\]

  7. pablobegins
    • 2 years ago
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    Okay..

  8. Study23
    • 2 years ago
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    Now, The Easiest Way to Multiply is to Use a Table, to Foil the two polynomials: |dw:1338768144332:dw|

  9. Study23
    • 2 years ago
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    So, That gives us \(\ \Huge 9x^2+60x+36 \). There's also an \(\ \Huge 8 \), so \(\ \Huge 8(9x^2+60x+36) \). You can factor a three out of the parenthesis, because 3 is a factor of all three terms. That gives you for a final answer: \(\ \Huge 24(3x^2+20x+12).\) Did you understand that?

  10. Study23
    • 2 years ago
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    Now, you would substitute 5 in for x, getting your final volume.

  11. pablobegins
    • 2 years ago
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    why 60?

  12. pablobegins
    • 2 years ago
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    oh, i see.

  13. pablobegins
    • 2 years ago
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    awesome, thanks a ton!

  14. Study23
    • 2 years ago
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    Your Welcome. @pablobegins

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