All categories

3 years ago

Is (x +1) a factor of f(x) = x3 + 2x2 −5x − 6 ? Yes No

Mathematics

2 answers:

sertanlavr [38]3 years ago

5 0

Answer:

Yes.

Step-by-step explanation:

You can find it out by factoring but ill do it easier way.

(x + 1 ) = 0 put the first and second equation to 0

x = -1

x³ + 2x² - 5x - 6 = 0 Now plug in the x in the equation

(-1)³ + 2(-1)² - 5(-1) - 6 = 0

0 = 0

so (x + 1) is a factor.

Firlakuza [10]3 years ago

5 0

Answer:

Yes

Step-by-step explanation:

If x + 1 is a factor

x = -1 should be a root

Check for the remainder:

(-1)³ + 2(-1)² −5(-1) − 6

Therefore it's a root, hence x+1 is a factor

You might be interested in

Line BC reflects about a line such that N is the reflection of B and O is the reflection of C. Point N is shown on the coordinat

erik [133]

If the line BC reflects about a line and point N( 3, 5 ) is the reflection of point B ( 3 , 7 ) then the reflection of C ( 5, 7 ) is O ( 5 , 5 ).
Answer: C ) ( 5, 5 )

3 0

3 years ago

Read 2 more answers

an inlet pipe and a hose together can fill the pond in 10 hours. The inlet pipe alone can complete the job in one hour less time

Annette [7]

Answer:

The hose pipe can fill the pond in 21.465 hours.

The inlet pipe can fill the pond in 20.465 hours.

Step-by-step explanation:

Given that, a inlet pipe and a hose pipe together can fill the pond in 10 hours.

The inlet pipe alone can fill the pond in one hour less time than the hose pipe can fill the pond.

Let the hose pipe can complete the job in x hours.

Then the inlet pipe can fill the pond in (x-1) hours.

The rate of filling of hose pipe is $=\frac{1}{x}$

The rate of filling of inlet pipe is $=\frac{1}{x-1}$

The rate of filling of both pipes is = $\frac 1{10}$

According to the problem,

$\frac{1}{x}+\frac{1}{x-1}=\frac{1}{10}$

$\Rightarrow \frac{x-1+x}{x(x-1)}=\frac1{10}$ [ simplifying the fraction]

$\Rightarrow \frac{2x-1}{x^2-x}=\frac1{10}$

$\Rightarrow 10(2x-1)= x^2-x$ [ Multiplying 10(x²-x) both sides]

$\Rightarrow x^2-x= 20x-10$

$\Rightarrow x^2-x-20x+10=0$ [ simplifying ]

$\Rightarrow x^2-21x+10=0$

$\Rightarrow x=\frac{-(-21)\pm\sqrt{(-21)^2-4.1.10}}{2.1}$ [ applying quadratic formula]

$\Rightarrow x=\frac{21\pm21.93}{2.1}$

⇒ x= 21.465, -0.465

x= - 0.465 does not possible, since time can not be negative.

∴x=21.465

The hose pipe can fill the pond in 21.465 hours.

The inlet pipe can fill the pond in (21.465-1)=20.465 hours.

3 0

3 years ago

What is the product of (2p+7)(3p+4p-3)

Alex

Answer:

The answer is C=6p3 + 29p2 + 22p – 21

Step-by-step explanation:

To calculate the product, we need to multiply each member of each multiplier:

(2p + 7)(3p2 + 4p – 3) = 2p · 3p² + 2p · 4p + 2p · -3 + 7 ·3p² + 7 · 4p + 7 · -3

= 6p³ + 8p² - 6p + 21p² + 28p - 21

= 6p³ + 8p² + 21p² + 28p - 6p -21

= 6p³ + 29p² + 22p - 21

Therefore, the product of (2p + 7)(3p2 + 4p – 3) is 6p³ + 29p² + 22p -21

3 0

3 years ago

Read 2 more answers

Two cars are 350 miles apart when they start moving towards each other. The cars are moving with the speeds of 65 mph and 75 mph

e-lub [12.9K]

Answer:

2 hours

Step-by-step explanation:

5 0

3 years ago

Janice's homeroom class has between 27 and 36

gayaneshka [121]

Answer:

could be any even number between 27-30

Step-by-step explanation:

ex, 23,30,32,34, or 36 students because they are all divisible by 2 meaning half the class can have pink and the other half can have green

3 0

3 years ago