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
fenix001 [56]
2 years ago
12

Find the value of k if x-1 is the factor of x ^ 2 + x + k​

Mathematics
1 answer:
Ne4ueva [31]2 years ago
4 0

Answer:

k = -2

Step-by-step explanation:

Recall from the Factor Theorem that if (<em>x</em> - <em>a</em>) is a factor of a polynomial <em>P</em>, then P(<em>a</em>) must equal 0.

Our polynomial is:

\displaystyle P(x) = x^2 + x + k

And we know that (<em>x</em> - 1) is a factor.

Therefore, by the Factor Theorem, P(1) must equal 0. Hence solve for <em>k: </em>

<em />\displaystyle \begin{aligned} P(1) = 0 & = (1)^2 + (1) + k \\ \\ 0 & = 2 + k \\ \\ k & = -2\end{aligned}

In conclusion, the value of <em>k</em> is -2.

You might be interested in
Charlotte reads 8 1/3 pages of a book in 10 mins. What is her average reading rate in pages per min.
oksian1 [2.3K]
25/3 divided by 10= 5/3 pages per minute 
4 0
3 years ago
Read 2 more answers
Simplify the expression. 3−9 ∙ 36 ∙ 36
adell [148]

Answer:

the answer is 0

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Josh went to a restaurant for dinner. The cost of the
Svetllana [295]

Answer:

17.41 Dollars

Step-by-step explanation:

First, you take the discount, which is 2 dollars, so now the cost without any additional costs is 22 dollars. Next, find 8 percent of 22 by multipling 22*0.08 and then you get 1.76. Subtract that from 22 and 20.24. Then take 14 percent of 20.24 by multiplying it by 0.14, which you get 2.8336. Round that down and you get 2.83. Subtract that from that and you get 17.41.

7 0
2 years ago
Divide. (4x^3+2x+1)÷(x+1)
stiks02 [169]

(4x^3+2x+1)\div(x+1)=4x^2-4x+6-\dfrac{5}{x+1}

8 0
3 years ago
What (3×5^2)/(5)^2 equal? Plz answer fast and with work and I will give brainliest
balu736 [363]

Answer:

The answer is 3.

Step-by-step explanation:

Given that the Indices Law is,

{a}^{m}  \div  {a}^{n}  =  {a}^{m - n}

{a}^{0}  = 1

So the expression is :

3 \times  {5}^{2}  \div  {5}^{2}

= 3 \times  {5}^{2 - 2}

= 3 \times  {5}^{0}

= 3 \times 1

= 3

4 0
3 years ago
Other questions:
  • How do i calculate slope using this equation y = mx + b the coordinates i'm using are 63, 62 and 47,48. Note I'm using a scatter
    8·1 answer
  • Complete the explanation of the error.
    5·1 answer
  • Please answer this correctly
    8·2 answers
  • Can you please help me I’m not a 100% sure how to do this
    6·2 answers
  • Prove that sin²a + cos²a = 1 and = <img src="https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7Bcos%5E%7B2%7Da%20%7D" id="TexFormula1" tit
    15·1 answer
  • You can download songs online for $0.99 each. Write an equation relating the total cost (c) to the number of songs (s) you downl
    6·1 answer
  • Which of the following is a Prime Number? 9, 5,4 ​
    15·2 answers
  • Please help!
    8·1 answer
  • Help me out plesseee!!
    11·1 answer
  • What is the regular price for a bicycle is $210.19. The sale price is $43.48 less than the regular price. What is the sale price
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!