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Juliette [100K]
3 years ago
5

Re-write the quadratic function below in Standard Form y = 3(x - 5)(x - 2)

Mathematics
1 answer:
LUCKY_DIMON [66]3 years ago
5 0

Answer:

3x² - 21x + 30

Step-by-step explanation:

y = 3(x - 5)(x - 2) ← expand factors using FOIL

  = 3(x² - 7x + 10) ← distribute parenthesis by 3

y = 3x² - 21x + 30 ← in standard form

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Answer:

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Step-by-step explanation:

To complete the square, first you must make sure that the coefficient of the x^2 term is 1. Here you have x^2 - 2x - 37 = 0. Since the x^2 term is simply x^2, you do have a coefficient of 1 for the x^2 term.

To find the number you need to add to complete the square, take the coefficient of the x term. Divide it by 2. Then square it.

The x term is -2x. The coefficient of the x term is -2.

Take half of -2 which is -1.

Now square -1 to get 1.

You need to add 1 to complete the square.

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2 years ago
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