A polynomial function has a root of -5 with multiplicity 3, a root of 1 with multiplicity of 2, and a root of 3 with multiplicity 7. If the function has a negative leading coefficient and is of even degree which statement about the graph is true?

a) function is positive on (-∞,-5)
b) fuction is negative on (-5,3)
c) function is positive on (-∞,1)
d) function is negative on (3,∞)

Answers

Answer 1

Answer:

Answer:

d) function is negative on (3,∞)

Step-by-step explanation:

The even degree and negative leading coefficient tell you that the function is negative as x ⇒ ±∞. (Selections A and C cannot be correct.)

The odd multiplicity tells you the function crosses the x-axis at x=-5 and x=3, so will be non-negative between those values. (Selection B cannot be correct.)

The function is negative on (3, ∞).

Answer 2

Answer:

Answer:

The graph of the function is positive on (-co, -5).

The graph of the function is negative on (3,co).

Step-by-step explanation:

We know that the roots are in: -5, 1 and 3.

and after 3, the graph is in the negative side, so between 1 and 3 the graph must be in the positive side, between -5 and 1 the graph must be in the negative side, and between -inifinity and -5 the graph must be in the positive side:

So the statements that are true are:

The graph of the function is positive on (-co, -5).

The graph of the function is negative on (3,co).

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Answers

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Answer:

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Step-by-step explanation:

Just had this Q

Which monomials are perfect cubes? Check all that apply.3x3
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Answers

When a number is multiplied by itself three times, then the resultant number is called a perfect cube. It is also a number with an exact cube root.

Out of the given options, $8x^(12)$ and $27x^(9)$ are perfect cubes.

$8x^(12)$ = $2x^(4)* 2x^(4)* 2x^(4)$ (2's are multiplied and powers are added)

$27x^(9)$ = $3x^(3)* 3x^(3)* 3x^(3)$ (3's are multiplied and powers are added)

The monomials that are perfect cubes out of the options given are: B. 8x^12, and C. 27x9.

What is a Perfect Cube?

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27x^9 can be expressed as: ∛(27x^9) = 3x³

8x^12 can be expressed as: ∛(8x^12) = 2x^4

Therefore, the perfect cubes are: B. 8x^12, and C. 27x9.

Learn more about perfect cube on:

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Answers

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Answers

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Answers

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Answers

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∅

Step-by-step explanation:

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