1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Reil [10]
2 years ago
13

Find k if (x+1) 2x^3+kx^2+1

Mathematics
1 answer:
Viktor [21]2 years ago
3 0
<h2>Question:</h2>

Find k if (x+1) is a factor of 2x³ + kx² + 1

<h2>Answer:</h2>

k = 1

<h2>Step-by-step explanation:</h2>

The factor of a polynomial F(x) is another polynomial that divides evenly into F(x). For example, x + 3 is a factor of the polynomial x² - 9.

<em>This is because;</em>

i. x² - 9 can be written as (x - 3)(x + 3) which shows that both (x - 3) and (x + 3) are factors.

ii. If x = -3 is substituted into the polynomial x² - 9, the result gives zero. i.e

=> (-3)² - 9

=> (9) - 9 = 0

Therefore, if (x + a) is a factor of a polynomial, substituting x = -a into the polynomial should result to zero. This also means that, if x - a is a factor of a polynomial, substituting x = a into the polynomial should give zero.

<em><u>From the question</u></em>

Given polynomial: 2x³ + kx² + 1

Given factor: x + 1.

Since x + 1 is a factor of the polynomial, substituting x = -1 into the polynomial should give zero and from there we can calculate the value of k. i.e

2(-1)³ + k(-1)² + 1 = 0

2(-1) + k(1) + 1 = 0

-2 + k + 1 = 0

k - 1 = 0

k = 1

Therefore the value of k is 1.

You might be interested in
What is the largest square factor of 49896
alexira [117]

Answer:

The biggest factor of 49896 is 24948

3 0
3 years ago
The town of Fitzgerald wants to build a coffee house halfway between Oak Station and Pine Station. Where should it be located (l
Lubov Fominskaja [6]

Answer:

1, 1/2

Step-by-step explanation:

the coordinates would be Oak station(8,8) and Pine Station(-6,-7).

The midpoints would be

=[8+(-6)]/2 , [8+(-7)]/2

=2/2 , 1/2

=1, 1/2

4 0
3 years ago
Identify the slope in the equation of the line graphed on the coordinate plane
taurus [48]

Answer:

The slope is 0.

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
How can you determine the coordinates of a figure after a reflection over either axis
Nataly [62]
If you reflect across the x-axis, the y value change from positive to negative.
If you reflect across the y-axis, the x value changes from positive to negative
5 0
2 years ago
an engineer estimates that 30% of gasoline is used efficiently by a car. how many gallons,out of 20 gallons, are used efficientl
juin [17]

We need to find 30% of 20 gallons.

1) We can write a proportion

20 gallons ---- 100%

x gallons --------30%

x = 20*30/100 = 6 gallons

2) Or we can write 30% as decimal.

30% = 30/100 = 0.3

0.3 of 20 = 0.3*20 =6 gallons

Answer 6 gallons are used efficiently.

3 0
3 years ago
Other questions:
  • 4 x equals negative 2x + negative 6
    9·2 answers
  • Solve for x.<br> 0 &lt; 3x - 6 s 18<br> 0 2 x&lt;0 or x &gt;8<br> x&lt;2 or x &gt; 8
    7·1 answer
  • 3x+6 factored form please help asap.
    6·1 answer
  • Shannon is putting a fence around the garden ,except where there is a gate that is 3 feet wide .one foot of the fence cost $43.
    12·2 answers
  • The circumference of a sphere was measured to be 82 cm with a possible error of 0.5 cm.
    14·1 answer
  • If using the method of completing the square to solve the quadratic equation x2+14x-14=0, which number would have to be added to
    8·1 answer
  • How do you find the NUMBER OF SIDES from an angles sum of an IRREGULAR POLYGON?
    6·1 answer
  • A climber is descending at a rate of 345 feet per hour. What is the climber's change in altitude after three hours of climbing?​
    10·1 answer
  • Please help explain and solve angels homework
    5·2 answers
  • What is the value of 9 in 6543.965?​
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!