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3 years ago

Is x+3 a factor of x^4-2x^3-15x^2-14x-12

1 answer:

Nookie1986 [14]3 years ago

7 0

Use synthetic division here, if you know it. Use -3 as divisor and use the coefficients 1 -2 -15 -14 -12. If there is no remainder, then x+3 is a factor of the given polynomial.

_____________________
-3 / 1 -2 -15 -14 -12
-3 15 0 42
---------------------------------
1 -5 0 -14 30

There's a non-zero remainder: 30. This means that the polynomial has the value 30 when x = -3, and that (x+3) is NOT a factor of the poly.

You might be interested in

What can each term of the equation be multiplied by to eliminate the fractions before solving? 1/2 x – 5/4 + 2x =5/6 + x

Karo-lina-s [1.5K]

The equation

$\dfrac{1}{2}x-\dfrac{5}{4}+2x=\dfrac{5}{6}+x$

consists of five terms, three of them contain fractions. The denominators of these fractions are 2, 4 and 6.

Find the LCM(2,4,6). Since

2=2;
4=2·2;
6=2·3,

then LCM(2,4,6)=2·2·3=12.

Thus, you have to multiply each term of the equation by 12 to eliminate the fractions.

Answer: 12

8 0

4 years ago

Read 2 more answers

33. A bicyclist rides 30 mi against a wind and returns 30 mi with the wind. His average speed for the return trip is 5 mph faste

k0ka [10]

Answer: i dont know this sorry

Step-by-step explanation:

because i dont know and i am very sorry :)

4 0

3 years ago

Suppose each runner ran at the rate given in the table above for 3.1 miles. How much time will elapse between the first place fi

Scilla [17]

You didn't include the table but I found this table for the same statement, so I will answer you based on the next table:

Runner     distance       time

Arabella        7,299 feet        561 seconds
Bettina          3,425 yards     13 minutes, 12 seconds
Chandra       8,214 feet        0,195 hours
Divya            1,62 miles        732 seconds

To answer the question you must find the rate for each runner and then calculate the time to run 3.1 miles at each rate.

First you need to convert the data to obtain the rate in miles per second.

These are the main conversion identities:

1 mile = 5280 feet

1 mile = 1760 yards

1 hour = 3600 seconds

1 hour = 60 minutes

1 minute = 60 seconds

Arabella:

rate: 7,229 feet / 561 seconds * (1 mile / 5280 feet) =

= 0.00244 mile/second

Time to run 3.1 miles: V = d / t => t = d / V = 3.1 miles / 0.00244 mile/second = 1270 seconds

Bettina:

13 minutes + 12 seconds = 13*60 seconds +12 seconds = 792 seconds

rate = 3425 yards / 792 seconds * 1 mile / 1760 yards = 0.00246 mile/seconds

Time to run 3.1 miles = 3.1 miles / 0.00246 mile/second = 1260 seconds

Chandra:

rate = 8214 feet / 0.195 hours * 1 mile / 5280 feet * 1hour / 3600 seconds =

= 0.00222 seconds

Time = 3.1 mile / 0.00222 seconds = 0.389 hour = 1396 seconds

Divya:

rate = 1.62 miles / 732 seconds = 0.00221 seconds

Time = 3.1 mile / 0.00221 seconds = 1403 seconds

Now you can find the difference between fhe last and the first 1403 seconds - 1260 seconds = 143 seconds

That is equivalent to 2.38 seconds.

6 0

3 years ago

The diagram shows a right-angled triangle.

son4ous [18]

answer

11.3 cm

steps

what is h cm to angle 37°=it is an opposite side

what is 15 cm to angle 37°=it is an adjecent side

opposite and adjecent form a tan

.°. opp/adj = tan(37°)

h/15 = tan(37°)

h = 11.3 cm

6 0

3 years ago

Find the value of Y for the given value of x

LUCKY_DIMON [66]

Y=-4x+6 x=1
y=-4(1)+6
y=-4+6
y=2

6 0

3 years ago