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EleoNora [17]
2 years ago
15

The function f(x) is a cubic function and the zeros of f(x) are -6, -3 and 1. The

Mathematics
1 answer:
jarptica [38.1K]2 years ago
3 0

Answer:

P(x)=-5x^3-40x^2-45x+90

Step-by-step explanation:

<u>Equation of a Polynomial</u>

Given the roots x1, x2, and x3 of a cubic polynomial, the equation can be written as:

P(x)=a(x-x1)(x-x2)(x-x3)

Where a is the leading coefficient.

We know the three roots of the polynomial -6, -3, and 1, thus:

P(x)=a(x+6)(x+3)(x-1)

Since the y-intercept of the polynomial is y=90 when x=0:

90=a(0+6)(0+3)(0-1)

90=a(6)(3)(-1)=-18a

Thus

a = 90/(-18) = -5

The polynomial is:

P(x)=-5(x+6)(x+3)(x-1)

We must write it in standard form, so we have to multiply all of the factors as follows:

P(x)=-5(x^2+6x+3x+18)(x-1)

P(x)=-5(x^2+9x+18)(x-1)

P(x)=-5(x^3-x^2+9x^2-9x+18x-18)

P(x)=-5(x^3+8x^2+9x-18)

\boxed{P(x)=-5x^3-40x^2-45x+90}

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3 years ago
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Svetlanka [38]

Answer:

18- 300

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Step-by-step explanation:

You can easily find the answer like this:

18. Multiply 60 and 100 together. The hundred is from 100%. After that, divide it by 20 because of the percent. After doing this, you should get 300.

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I hope this is what you were looking for. If you need more out of this, ask me to answer it again. :)

5 0
3 years ago
2. What is the value of x?<br> A. 17<br> B. 39<br> C. 26<br> D. 41
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5 0
2 years ago
Read 2 more answers
Six added to 3 times a number is equal to 4 less than 5 times the number. What is the number?
harina [27]

Answer:

5

Step-by-step explanation:

Let the number be x.

3x+6=5x-4

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x=5

The number is 5.

8 0
3 years ago
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