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
allochka39001 [22]
3 years ago
10

Is (x + 5) a factor of f(x) = x3 − 4x2 + 3x + 7? Use either the remainder theorem or the factor theorem to explain your reasonin

g. This is worth 100 points. Will mark brainliest. Whatever you want. Please answer this.
Mathematics
2 answers:
Iteru [2.4K]3 years ago
7 0

Answer:

  • No

Step-by-step explanation:

Let's assume (x + 5) is the factor of f(x) = x^3 − 4x^2 + 3x + 7

then f(-5) should be equal to zero. Verifying:

  • f(-5) =
  • (-5)^3 - 4(-5)^2 +3(-5) + 7 =
  • -125 - 100 - 15 + 7 =
  • -233

Since -233 ≠ 0, the statement is false, so (x + 5) is not a factor of given polynomial

garik1379 [7]3 years ago
4 0

Answer:

No

Step-by-step explanation:

3x-8+3x+7-(simplified)-> 6x-1, which does not have (x+5) as a factor

You might be interested in
Someone help me with this proof please ​
Anna71 [15]

Answer:

the first statement is: AB is congruent to DC.

reason: given

Step-by-step explanation:

im not sure about the others

6 0
3 years ago
If g(x)=4x^2-16 we’re shifted 9 united to the right and 1 down, what would the new equation be?
Inessa05 [86]

Shown in the graph

<h2>Explanation:</h2>

Using graph tools we can graph the function:

g(x)=4x^2-16

which is the red graph shown below. As you can see, this is a parabola. The rule for vertical and horizontal shifts is as follows:

Let \ c \ be \ a \ positive \ real \ number. \ \mathbf{Vertical \ and \ horizontal \ shifts} \\ in \ the \ graph \ of \ y=f(x) \ are \ represented \ as \ follows:

\bullet \ Vertical \ shift \ c \ units \ \mathbf{upward}: \\ h(x)=f(x)+c \\ \\ \bullet \ Vertical \ shift \ c \ units \ \mathbf{downward}: \\ h(x)=f(x)-c \\ \\ \bullet \ Horizontal \ shift \ c \ units \ to \ the \ right \ \mathbf{right}: \\ h(x)=f(x-c) \\ \\ \bullet \ Horizontal \ shift \ c \ units \ to \ the \ left \ \mathbf{left}: \\ h(x)=f(x+c)

Therefore, If we shift the red graph 9 units to the right and 1 down, our new function (let's call it h(x)) will be:

h(x)=4\left(x-9\right)^{2}-16-1 \\ \\ Simplifying: \\ \\ h(x)=4\left(x-9\right)^{2}-17

This graph is the blue graph below. Let's verify the transformation taking the vertex of the red graph:

(0,-16)

By translating the 9 units to the right and 1 down the vertex is also translated by the same rule, so:

New \ vertex: \\ \\ (0+9,-16-1) \\ \\ (9,-17)

<h2>Learn more:</h2>

Cubic function: brainly.com/question/13773618#

#LearnWithBrainly

5 0
3 years ago
QUIZ<br> Find the volume of the square pyramid.<br> 9 cm<br> 4 cm
kari74 [83]

Answer:

SEE BELOW

Step-by-step explanation:

V=a²h/3
=9² x 4/3
= 81 x 4/3
= 27 x 4
= 108 cm³

5 0
2 years ago
What is 1 1/3 as a improper fraction
Mumz [18]
Okay so for this all you have to do is add 1 to 1/3.

However, to do this you first need to convert 1 into a fraction.

1 = 3/3
3/3 + 1/3 = 4/3

Hope this helps :)
8 0
3 years ago
a 3 dimensional figure has a square base and 4 lateral faces that meet at a point. Explain the difference between the cross sect
Kruka [31]

Answer:

a slice is made perpendicular to the base through the vertex: triangle

slice is made perpendicular to the base and not through the vertex: trapezoid

Step-by-step explanation:

a slice is made perpendicular to the base through the vertex: triangle

slice is made perpendicular to the base and not through the vertex: trapezoid

8 0
3 years ago
Other questions:
  • True or False. The points X, R, K and H coplanar in the attached image.
    5·1 answer
  • the coordinates of point A are (6,-7) and the coordinates of point B are (-6,2) point M is the midpoint of AB find the coordinat
    8·1 answer
  • Determine the image of the point (-3, 4) under a rotation of 90° about the origin.
    6·2 answers
  • What is the value of x?
    11·2 answers
  • “The quotient of two integers is always
    14·2 answers
  • Can someone plz help me on this plz I beg u plz
    10·1 answer
  • Ab= <br> round to the nearest hundredth
    9·1 answer
  • Edmund's credit card has an unpaid balance of $598. The annual percentage rate is 18%. What will the finance charge for one mont
    12·1 answer
  • I need help finding the measure of the angles
    12·1 answer
  • What is the slope of the line shown below?
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!