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ciara_chap3 Group Title

What is the expression in factored form? 4x2 + 11x + 6

  • one year ago
  • one year ago

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  1. pratu043 Group Title
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    Hint: Find two numbers whose product is 24 and sum is 11.

    • one year ago
  2. jiteshmeghwal9 Group Title
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    break the middle term such that the product becomes (6*4x^2) & sum becomes 11x

    • one year ago
  3. fernando12 Group Title
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    Multiply 4 (the number attached to x^2) and 6 (the number without a variable) together and you get 24. Now you need two numbers that will add together to equal 11 (the number in the middle) and multiply together to equal 24. Make a list of the factors of 24 and see if any of them will add together to get 11. There's 1 and 24; 2 and 12; 3 and 8, and more after that, but 3 and 8 will make 11, so they're your numbers. Now you need to put 8 and 3 in the middle of the problem, so write 4x^2 + 8x + 3x + 6. Then, see if you can factor anything out of the first two terms (4x^2 and 8x). They both have a 4x in them, so when you factor it will look like 4x(x + 2). Now factor the next two. They both have a 3 in them, so when you factor it'll look like 3(x +2). Your problem should now look like 4x(x+2) + 3(x+2). There will always be something that repeats ((x + 2) in this case) and you'll always put it in your final answer only once. Your final answer (factored form) is (4x+3)(x+2)

    • one year ago
  4. pratu043 Group Title
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    4x^2 + 8x + 3x + 6 = 4x(x + 2) + 3(x + 2) Easy now?

    • one year ago
  5. jiteshmeghwal9 Group Title
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    4x^2+8x+3x+6 4x(x+2)+3(x+2) (4x+3)(x+2)

    • one year ago
  6. pratu043 Group Title
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    Correct.

    • one year ago
  7. ciara_chap3 Group Title
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    can you help with another one?

    • one year ago
  8. fernando12 Group Title
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    okey

    • one year ago
  9. fernando12 Group Title
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    what is the question

    • one year ago
  10. ciara_chap3 Group Title
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    What is the expression in factored form? 9x^2 – 4

    • one year ago
  11. ciara_chap3 Group Title
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    i want help on how to do it not just the answer.

    • one year ago
  12. fernando12 Group Title
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    Ans: (3x-2)(3x+2)

    • one year ago
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