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anonymous

  • one year ago

WILL FAN AND MEDAL Select the polynomial that is a perfect square trinomial. 49x2 − 8x + 16 4a2 − 10a + 25 25b2 − 5b + 10 16x2 − 8x + 1

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  1. anonymous
    • one year ago
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    a number after the variable is an exponent

  2. anonymous
    • one year ago
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    @mathway

  3. anonymous
    • one year ago
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    @Maxmius @mbma526

  4. Taylor0402
    • one year ago
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    here is a reference to help you file:///C:/Users/Owner/Downloads/StudyGuide.IA.pdf

  5. anonymous
    • one year ago
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    I can't click the link @Taylor0402

  6. Taylor0402
    • one year ago
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    copy and paste if u doof

  7. anonymous
    • one year ago
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    @ospreytriple

  8. anonymous
    • one year ago
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    allo ospreytriple :)

  9. anonymous
    • one year ago
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    Hi. You need some help? Firstly, for a trinomial to be a perfect square, both the first and last terms must be perfect squares. For example\[\left( 2x+3 \right)\left( 2x+3 \right) = 4x^2+12x+9\]Both the first term, 4x^2, and the last term, 9, are perfect squares. Understand so far?

  10. anonymous
    • one year ago
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    yes @ospreytriple

  11. anonymous
    • one year ago
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    This will eliminate one of the answers.

  12. anonymous
    • one year ago
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    Now, to pin it down, The coefficient of the middle term (the coefficient of the 'x' term) must be equal to twice the product of the square roots of the coefficient of the first term and the third term. In my example\[4x^2+12x+9\]the square root of the coefficient of the first term is 2 and the square root of the third term is 3. Twice their product is 2(2 x 3) = 12. OK?

  13. anonymous
    • one year ago
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    And to make it even trickier, you have to consider that the negative square root may also be a possibility.

  14. anonymous
    • one year ago
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    Take the first answer given for example. The square root of 49 is +7 or -7 and the square root of 16 is +4 or -4. So, if it is a perfect square the coefficient of the middel term must be one of 2(-7 x 4) 2(-7 x -4) 2(7 x 4) 2(7 x -4) If it is not one of these, the it is not a perfect square trinomial.

  15. anonymous
    • one year ago
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    BTW these are the answers 49x2 − 8x + 16 4a2 − 10a + 25 25b2 − 5b + 10 16x2 − 8x + 1

  16. anonymous
    • one year ago
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    @ospreytriple is it B?

  17. anonymous
    • one year ago
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    @ospreytriple

  18. anonymous
    • one year ago
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    Yes. Well done.

  19. anonymous
    • one year ago
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    THX SO MUCH

  20. anonymous
    • one year ago
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    Oops. sorry, it's not B.

  21. anonymous
    • one year ago
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    The middle coefficient must be TWICE the product of the two square roots.

  22. anonymous
    • one year ago
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    So d

  23. anonymous
    • one year ago
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    So, for the possibilities for the coefficient of the middle term are 2(-2 x 5) 2(-2 x -5) 2(2 x 5) 2(2 x -5)

  24. anonymous
    • one year ago
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    Yes, D is correct. Sorry for the mixup.

  25. anonymous
    • one year ago
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    its ok

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