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zhuklara [117]
3 years ago
8

Can someone help me I don’t quite understand ILL GIVE BRAINLY to whoever is right

Mathematics
1 answer:
slavikrds [6]3 years ago
8 0

Answer:

it is C if I am not mistkin

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Aleks04 [339]

Answer:

  • 5(x +1.5)^2
  • 10(x +1)^2
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Step-by-step explanation:

When your desired form is expanded, it becomes ...

  a(x +b)^2 = a(x^2 +2bx +b^2) = ax^2 +2abx +ab^2

This tells you the overall factor (a) is the leading coefficient of the given trinomial. Factoring that out, you can find b as the root of the remaining constant.

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b) 10x^2 +20x +10 = 10(x^2 +2x +1) = 10(x +1)^2

c) 1/4x^2 +x +1 = 1/4(x^2 +4x +4) = 1/4(x +2)^2

d) 3x^2 +5x +25/12 = 3(x^2 +5/3x +25/36) = 3(x +5/6)^2

_____

<em>Additional comment</em>

If you know beforehand that the expressions can be factored this way, finding the two constants (a, b) is an almost trivial exercise. It gets trickier when you're trying to write a general expression in vertex form (this form with an added constant). For that, you must develop the value of b from the coefficient of the linear term inside parentheses.

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would you like an explantion or are you good

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