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lyudmila [28]
3 years ago
15

Factor the expression completely. x^4-11x^2+28 x 4 −11x 2 +28

Mathematics
1 answer:
nadezda [96]3 years ago
4 0

Answer:

(x² - 7)(x² - 4)

Step-by-step explanation:

We can actually factor this the same way we would solve a normal quadratic equation.  We will end up with the factored terms have squares of x instead of just x.

x⁴ - 11x² + 28

= x⁴ - 4x² - 7x² + 28

= x²(x² - 4) - 7(x² - 4)

= (x² - 7)(x² - 4)

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4 years ago
Kate is going on a long distance car trip. She begins with 16 gallons of gas in her car and her car burns 3 gallons of gas each
pochemuha

Answer:

She was driving for 5 hours

Step-by-step explanation:

Let us solve the question

∵ Kate begins with 16 gallons of gas in her car

∵ Her car burns 3 gallons of gas each hour

→ That means the rate of burn of the gas is 3 gallons per hour

∵ She ends her road trip with 1 gallon of gas left in the tank

→ That means she used the difference between 16 and 1 gallons

∴ The number of gallons she used = 16 - 1 = 15 gallons

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→  3          :  1

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→ By using cross multiplication

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3 years ago
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