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2 years ago

What is the polynomial function of lowest degree with rational real coefficients, and roots -3 and square root of 6?

Mathematics

1 answer:

telo118 [61]2 years ago

4 0

9514 1404 393

Answer:

f(x) = x³ +3x² -6x -18

Step-by-step explanation:

In order for there to be a root of √6, there must be a factor of (x-√6). In order for there to be rational coefficients, there needs to be another factor of (x+√6) in the minimal polynomial. Then the minimal polynomial with the required roots is ...

f(x) = (x +3)(x -√6)(x +√6) = (x +3)(x² -6)

f(x) = x³ +3x² -6x -18

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dem82 [27]

Answer:

2π feet

Step-by-step explanation:

9:30 PM to 1:30 AM is 4 hours.

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1/3 of that is:

1/3×2×3×π=2π

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3 years ago

Triangles EFG and QRS are similar. The lengths of the sides of EFG are 72, 64, and 56. The length of the smallest side of QRS is

blsea [12.9K]

Answer:

$180\ units$

Step-by-step explanation:

we know that

If triangles EFG and QRS are similar

then

the scale factor is equal to the measure of the smallest side of triangle QRS divided by the smallest side of triangle EFG

Let

x-------> the smallest side of triangle QRS

y-------> the smallest side of triangle EFG

z-------> the scale factor

we have

$x=140\ units, y=56\ units$

substitute the values

$z=\frac{140}{56}$

$z=2.5$

Find the length of the longest side of QRS

The length of the longest side of QRS is equal to multiply the scale factor by the length of the longest side of EFG

$2.5*72=180\ units$

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2 years ago

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Step-by-step explanation:

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Which of the following is an irrational number? -7 , 7/101, -1/3, pi

Damm [24]

Answer:

Step-by-step explanation:

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2 years ago

Rudi bought 12.5 yards of fabric to make pillows. Each pillow requires 1.75 yards of fabric. Use compatible numbers to estimate

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Hi there!

Using compatible numbers it would be:

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3 years ago

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