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Stolb23 [73]
3 years ago
10

Find a polynomial f(x) of degree 4 that has the following zeros. 7, −3, 0, −2

Mathematics
1 answer:
HACTEHA [7]3 years ago
7 0

Answer:

x^4 - 2x^3 - 29x^2 - 42x

Step-by-step explanation:

Equal all the zeros to x then move them over.

x=7,x=-3,x=0,x=-2

x-7,x+3,x+0,x+2

Then multiply each factor

(x-7)(x+3)(x)(x+2)

x^4 - 2x^3 - 29x^2 - 42x

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6*87 is greater than 5*87. How much greater? Explain how you know without multiplying.
Juli2301 [7.4K]
You know that if you are multiplying a number by 5, and multiplying the same number by 6, 6 is going to be bigger
8 0
3 years ago
Find the value of the integral that converges.<br> ∫^-5_-[infinity] x^-2 dx.
Bingel [31]

Answer:

\int_{-\infty}^{-5} x^{-2}dx= \frac{1}{5} + \lim_{x\to -\infty} \frac{1}{x} =\frac{1}{5}

Because the \lim_{x\to -\infty} \frac{1}{x} =0

The integral converges to \frac{1}{5}

Step-by-step explanation:

For this case we want to find the following integral:

\int_{-\infty}^{-5} x^{-2}dx

And we can solve the integral on this way:

\int_{-\infty}^{-5} x^{-2}dx= \frac{x^{-2+1}}{-2+1} \Big|_{-\infty}^{-5}

\int_{-\infty}^{-5} x^{-2}dx= -\frac{1}{x} \Big|_{-\infty}^{-5}

And if we evaluate the integral using the fundamental theorem of calculus we got:

\int_{-\infty}^{-5} x^{-2}dx= \frac{1}{5} + \lim_{x\to -\infty} \frac{1}{x} =\frac{1}{5}

Because the \lim_{x\to -\infty} \frac{1}{x} =0

The integral converges to \frac{1}{5}

8 0
3 years ago
On a number line, what is x-4&lt;-3?
goblinko [34]

Add 4 to both sides

x - 4 < -3

x-4+4 < -3+4

x < 1

To graph this on a number line, plot an open circle at 1 on the number line. Do not fill in the open circle. Shade to the left of the open circle. The shaded region represents all x values smaller than 1.

The graph is shown below.

3 0
3 years ago
Where could point E be if and D is between E and B?
Artemon [7]

Answer:

It would be to the left of the whole equation.

Step-by-step explanation:

3 0
3 years ago
has a $50 bill and wants to buy a pair of shoes for $48. If the sales tax is 6% how much more does she need to buy the shoes?
adelina 88 [10]

Answer:

He will ned 1 dollar more

Step-by-step explanation:

50x.06=3 so that is the sales tax subtract it by 2 and he will need 1 more dollar

3 0
3 years ago
Read 2 more answers
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