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IRISSAK [1]
3 years ago
13

Write a polynomial function of least degree that has rational coefficients, a leading coefficient of 1, and the given zeros.

Mathematics
1 answer:
kogti [31]3 years ago
6 0

9514 1404 393

Answer:

  f(x) = x³ -5x² +2x +8

Step-by-step explanation:

If the function has a zero of p, then it has a factor of (x-p). The polynomial of least degree will only have factors corresponding to the given zeros:

  f(x) = (x -(-1))(x -2)(x -4)

  = (x +1)(x -2)(x -4)

  = (x² -x -2)(x -4)

  f(x) = x³ -5x² +2x +8

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This is Mathematics 800
Lena [83]

Answer:

It is possible to get all 8 in one go. However, it is very unlikely because...

Step-by-step explanation:

You have a 1/8 chance of getting the dinosaur you want from a box. That means obviously you are significantly more likely to get another less dinosaur. Which it likely won't have lasers and stuff. Which is always sad.

The theoretical probability is far less likely to actually happen than the experimental probability.

8 0
3 years ago
F(x)= sqrt of 5x+7 and g(x)= the sqrt of 5x-7
ki77a [65]
F(x) = √(5x + 7)

g(x) = √(5x - 7)

(f + g)(x) = f(x) + g(x)

(f + g)(x) = √(5x + 7) + √(5x - 7)

Answer: C)
4 0
4 years ago
2/5g+3h-6 when g=10 and h=6
faust18 [17]
<span>2/5g+3h-6 when g=10 and h=6

</span><span>2/5 (10) +3(6) - 6
</span><span>= 4 + 18 - 6
= 16

</span>
4 0
4 years ago
What are the coordinates of R' after a dilation by a scale factor of 3, centered at the origin, followed by the translation (x,
emmainna [20.7K]

9514 1404 393

Answer:

  C.  (9, 18)

Step-by-step explanation:

Given R(3, 5), a dilation by a factor of 3 will multiply each coordinate to give ...

  (9, 15)

Then the translation up by 3 will give you the image coordinates ...

  (x, y) ⇒ (x, y+3)

  (9, 15) ⇒ (9, 15 +3) = (9, 18)

The coordinates of R' are (9, 18), matching choice C.

_____

<em>Comment on multiple choice answers</em>

As it often does, here it works to "guess" the answer that has the coordinates that are most-repeated. An x-coordinate of 9 is part of 3 answer choices; a y-coordinate of 18 is the only repeated value in the answer choices. If you were to guess, an appropriate guess would be (9, 18). That happens to be correct in this case.

8 0
3 years ago
Can some one help me with this I need help with it it's due tomorrow so plz help me
Fynjy0 [20]
Add the two and you should get 2 and 7/16
7 0
4 years ago
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