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
Mashutka [201]
2 years ago
6

Is x + 1 a factor of

title="x^{4} +2x^{3} +2x^{2} -2x-3" alt="x^{4} +2x^{3} +2x^{2} -2x-3" align="absmiddle" class="latex-formula">?
Mathematics
2 answers:
JulsSmile [24]2 years ago
4 0
Yes x+1 is a factor of that
Svetllana [295]2 years ago
4 0

Answer:

Yes.

Step-by-step explanation:

We want to determine if (<em>x</em> + 1) is a factor of the polynomial:

x^4 + 2x^3 + 2x^2 - 2x -3

According to the Factor Theorem, if a binomial in the form (<em>x</em> - <em>a</em>) is a factor of a polynomial P(x), then P(a) must equal zero.

Our binomial factor is (<em>x</em> + 1) or (<em>x</em> - (-1)). Hence, <em>a</em> = -1.

Let our polynomial be P(x). Find P(-1):

\displaystyle\begin{aligned}  P(-1) &= (-1)^4 + 2(-1)^3 +2(-1)^2 -2(-1) -3 \\&=0\end{aligned}

Therefore, since the resulting value is indeed zero, (<em>x</em> + 1) is indeed a factor of the given polynomial.

In conclusion: yes.

You might be interested in
The graph shows how a motorboat travels around a lake. What does the graph most likely show?
kozerog [31]
D, it increases then goes at a constant speed
8 0
2 years ago
Nancy's Cupcakes recorded how many cupcakes it recently sold of each flavor.​
Alexeev081 [22]

Answer:

pumpkin because it got the most sold

7 0
2 years ago
I NEED HELP WITH THIS ASAP I WILL MARK YOU THE BRAINLIEST NO LINKS!!!
kvasek [131]

Answer:

-50x

Step-by-step explanation:

The rate of change is the dependent variable, which means that is the number that can change due to another number or variable. The only dependent variable is -50x, Which means this is the rate of change.

6 0
3 years ago
Melons cost $20 pet Crate, and apples cost $8 per create. an order comes in for a total of 48 crates for $420. what was the numb
Alika [10]

Answer:

The number of melon was 3 and the number of apples was 45.

Step-by-step explanation:

1. Melons cost $20 per crate and apples cost $8 per create. If the total was 48 crates for $420, you can make the following system of equations, where x is the number of melons and y is the number of apples:

\left \{ {{x+y=48} \atop {20x+8y=420}} \right.

2. By applying the Method of substitution, you can solve for y in the first equation and substitute it into the second one to find x. Then, you can substitute the value of x into the first equation to find y:

y=48-x

20x+8(48-x)=420\\20x+384-8x=420\\12x=36\\x=3

3+y=48\\y=45


4 0
3 years ago
HELP PLZ ALGEBRA 1 HW
nlexa [21]

Answer: 5 and 4

Step-by-step explanation: 5+2=7 amount total per person. 65-30 equals amount able to spend on people. 35÷7=5 being the largest amount possible.

4 0
2 years ago
Other questions:
  • Need help will mark brainliest for the right answer!
    5·1 answer
  • A commuter van has 38 seats and 14 windows. how many windows are in 6 commuter van?
    8·2 answers
  • HURRY<br> What is the volume of this rectangles prism??
    11·1 answer
  • Two distinct planes __________ intersect in a pair of lines
    8·1 answer
  • Kali has a 666 meter ladder that she wants to use to get her cat out of a tree. She puts the base of the ladder 222 meters away
    7·1 answer
  • (PLEASE HELP DUE NOW! I DON'T UNDERSTAND!)
    15·2 answers
  • What is the independent variable of y=3.5x+2.8
    5·2 answers
  • Pls someone help me with this question pls
    14·1 answer
  • .
    12·1 answer
  • If the length of the minor axis of an ellipse is 6 units and the length of the major axis is 10 units, how far from the center a
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!