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3 years ago

12) which of the following is factor of the polynomial x^4+x^3-x^2+x-1

Mathematics

2 answers:

GrogVix [38]3 years ago

8 0

None as both leave remainders

brilliants [131]3 years ago

6 0

Answer:

none

Step-by-step explanation:

If (x + h) is a factor of f(x) then f(- h) = 0

Given

f(x) = $x^{4}$ + x³ - x² + x - 1

If (x + 1) is a factor then f(- 1) = 0

f(- 1) = $(-1)^{4}$ + (- 1)³ - (- 1)² + (- 1) - 1 = 1 - 1 - 1 - 1 - 1 = - 3 ≠ 0

Thus (x + 1) is not a factor

If (x - 1) is a factor then f(1) = 0

f(1) = $1^{4}$ + 1³ - 1² + 1 - 1 = 1 + 1 - 1 + 1 - 1 = 1 ≠ 0

Thus (x - 1) is not a factor

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A recent article in a university newspaper claimed that the proportion of students who commute more than miles to school is no m

Naddika [18.5K]

Answer:

The null hypothesis is $H_0: p \leq x$ , in which x is the proportion tested.

The alternative hypothesis is $H_1: p > x$

Step-by-step explanation:

A recent article in a university newspaper claimed that the proportion of students who commute more than miles to school is no more than x.

This means that at the null hypothesis, we test if the proportion is of at most x, that is:

$H_0: p \leq x$

Suppose that we suspect otherwise and carry out a hypothesis test.

The opposite of at most x is more than x, so the alternative hypothesis is:

$H_1: p > x$

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2 years ago

Can someone please put 2x + 3 into words? this is for algebra

Finger [1]

Answer:

A constant with hidden variable being two times on first term increased by three times.

or,

A hidden age of adult twice adding with variable increasing with three times.

4 0

3 years ago

Chrissy went to the grocery store Thursday night and spent $22.54. She paid

podryga [215]

Answer:

19.32

Step-by-step explanation:

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3 years ago

What expressions equal to 19

svp [43]

19 = 19/1 = 38/2 = 57/3 = 76/4

3 0

3 years ago

What is the 24th term if the arithmetic sequence where a1 = 8 and a9 = 56

AnnyKZ [126]

Answer:

$a_{24} = 146$

Step-by-step explanation:

a1 = 8

a9 = 56

Using formula for finding nth term of arithmeric sequence

$a_{n} =a_{1} + (n-1)d$

We have to find 24th term, therefore n = 24

$a_{1}$ is the first term but we are missing d

d is the difference between the two consecutive terms, lets calculate it first

a9 = 56

Using the above given formula for finding d

put n = 9, a9= 56

$a_{9} =a_{1}+ (9-1)d$

56 = 8 + 8d

8d = 48

d = 6

Getting back to main part of finding 24th term

n = 24, d = 6, a1 = 8

put values in nth term formula

$a_{n} =a_{1}+ (n-1)d$

$a_{24} = 8 + (24-1)6$

$a_{24} = 8 + 138$

$a_{24} = 146$

5 0

3 years ago