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2 years ago

State the degree and dominant term of this polynomial

Mathematics

1 answer:

artcher [175]2 years ago

4 0

The degree of the polynomial f(x) = 2x(x - 3)³(x + 1)(4x - 2) is 6, and the dominant term is - 216x²

<h3>The degree of the polynomial?</h3>

The polynomial function is given as:

f(x) = 2x(x - 3)³(x + 1)(4x - 2)

To determine the degree, we simply add the multiplicities.

So, we have:

Degree = 1 + 3 + 1 + 1

Evaluate

Degree = 6

Hence, the degree of the polynomial is 6

<h3>The dominant term of the polynomial</h3>

We have:

f(x) = 2x(x - 3)³(x + 1)(4x - 2)

Expand

f(x) = 8x⁶ - 68x⁵ + 176x⁴ - 72x³ - 216x² + 108x

The term with the highest absolute value is - 216x²

Hence, the dominant term is - 216x²

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k0ka [10]

Answer: The value of y is $\frac{4}{3}$ .

Explanation:

It is given that the graph of a proportional relationship passes through (12, 16)

and (1, y).

The graph of a proportional relationship means the x and y coordinates are in a proportion k. The equation of the graph is in the form of y=kx. Where k is the proportion factor.

It is given that the graph passing through (12,16).

$y=kx$

$16=k(12)$

$k=\frac{16}{12}$

$k =\frac{4}{3}$

So the equation of the line is,

$y=\frac{4}{3} x$

put x=1.

$y=\frac{4}{3} (1)$

$y=\frac{4}{3}$

Therefore, the value of y is $\frac{4}{3}$ .

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3 years ago

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The vertices of ΔGHI are G(-3,0), H(-5,-5), and I(1,-5). What are the coordinates of the image after being reflected over the y-

s2008m [1.1K]

After reflecting the points of triangle GHI over the y axis, the new points will be:
G' (3,0)
H' (5,-5)
I' (-1,-5)

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3 years ago

In science class, the average score on a lab report is 82 points, with all students scoring within 3.2 points of the average. If

nirvana33 [79]

An equation that represents the minimum and maximum scores is; |x - 82| = 3.2.

<h3>How to write an absolute value equation?</h3>

The absolute value function is defined by:

f(x) = x, x ≥ 0.

f(x) = x, x < 0.

It measures the distance of a point x to the origin.

For this problem, the distance between the minimum and the maximum scores and the mean is of 3.2, that is, the difference between these scores x and the mean of 82 is of 3.2, hence the absolute value equation that represents this situation is given by:

|x - 82| = 3.2.

Read more absolute Value equation at; brainly.com/question/5012769

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2 years ago

What is the area of a circle with a diameter of 9.2 centimeters? Round your answer ro the nearest hundredth.

nika2105 [10]

The answer the the problem is A.

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3 years ago

Is -3 bigger or less then -12

Gnom [1K]

Answer:

bigger

Step-by-step explanation:

-3 is bigger then -12

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3 years ago

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