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3 years ago

Write a polynomial function of least degree with integral coefficients that has the given zeros.

1 answer:

4 0

The zeroes are
0, -5, 3 + i (and its conjugate)

The factors are
x (x + 5) (x - (3 + i)) (x - (3 - i))
Expanding...
(x² + 5x)((x - 3) - i) ((x - 3) + i)
(x² + 5x)((x - 3)² - i²)
(x² + 5x)(x² - 6x + 9 - (-1))
(x² + 5x)(x² - 6x + 10)
x⁴ - 6x³ + 10x² + 5x³ - 30x² + 50x
x⁴ - x³ - 20x² + 50x

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What is the slope of the line that contains the points (-1, 2) and (3, 3)?

sweet [91]

Answer:

$\text Slope = \frac{1}{4}$

Step-by-step explanation:

the slope of the line that passes through the points

$\large A\left( x_{1},y_{1}\right) \text{and} \ B\left( x_{2},y_{2}\right)$

$\large \text{slope} =\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

the slope of the line that contains the points (-1, 2) and (3, 3) is :

$\Longrightarrow \text{slope} =\frac{3-2}{3-\left( -1\right) }= \frac{1}{4}$

7 0

2 years ago

Evaluate the expression 1/3^-2

AleksAgata [21]

Answer:the answer to this is 9

Step-by-step explanation:

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4 years ago

B) <br>(-32)+(+17)+(+32)

mart [117]

It’s 17

have a wonderful day

3 0

3 years ago

Read 2 more answers

3 people pack enough water to last 9 days. 5 more people join them. How long will their water last?

S_A_V [24]

Answer:

approx. 3 days

Step-by-step explanation:

3 people = 9 days

1 person = (9x3) days

Therefore, 8 people = (9x3)/8

=27/8

= 3.375

= aprrox. 3 days

8 0

3 years ago

Helen's house is located on a rectangular lot that is1 1-8 miles by 9/10 mile.Estimate the distance around the lot

klemol [59]

Answer: The distance around the lot is given by

$4\frac{1}{20}\ miles$

Step-by-step explanation:

Since we have given that

Length of rectangular lot is given by

$1\frac{1}{8}\\\\=\frac{9}{8}\ miles$

Width of rectangular lot is given by

$\frac{9}{10}\ mile$

We need to find the distance around the lot.

As we know the formula for "Perimeter of rectangle":

$Perimeter=2(Length+Width)\\\\Perimeter=2(\frac{9}{8}+\frac{9}{10})\\\\Perimeter=2(\frac{45+36}{40})\\\\Perimeter=2\times \frac{81}{40}\\\\Perimeter=\frac{81}{20}\\\\Perimeter=4\frac{1}{20}\ miles$

Hence, the distance around the lot is given by

$4\frac{1}{20}\ miles$

3 0

3 years ago

Read 2 more answers