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ILoVeMaTh3

  • 2 years ago

What is the factored form of x^2 + 6x + 8? I got (x+4) (x+2)

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  1. ZeHanz
    • 2 years ago
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    You're right! Just expand again (FOIL)...

  2. ILoVeMaTh3
    • 2 years ago
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    so 5 and 3?

  3. ZeHanz
    • 2 years ago
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    Or use: 4+2 = 6 (coefficient of x) 4*2 = 8 (constant at the end)

  4. ZeHanz
    • 2 years ago
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    Rule is: the numbers you are looking for have sum 6 and product 8

  5. ILoVeMaTh3
    • 2 years ago
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    ah thanks so it is 4 and 2 because 4 + 2 = 6 and 4 x 2 = 8

  6. ILoVeMaTh3
    • 2 years ago
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    factoring makes so much sense now thanks

  7. ZeHanz
    • 2 years ago
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    Yes! Another one: x²+5x+6 = (x+2)(x+3) They're not all that easy though, because sometimes there are negative numbers involved, or there seem to be many numbers to choose from...

  8. ILoVeMaTh3
    • 2 years ago
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    yeah I see it now :)

  9. ZeHanz
    • 2 years ago
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    E.g. this one: x²-3x-28 Sum = -3 (many possibilities, don't bother with them!) Prod. = -28...hmm that could be: (one of them should be negative, because product is negative ) -1, 28 or 1,-28 no: sum goes wrong -2, 14 or 2, -14 no .... -4, 7 or 4, -7 ...yes! Sum of 4 and -7 is -3 So: (x-7)(x+4) Now I will stop ;)

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