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
Nadusha1986 [10]
3 years ago
11

If x + 2 is a factor of x^3 - 2ax^2 +16, then value of a is i) 3 ii) 1 iii) 4

Mathematics
2 answers:
morpeh [17]3 years ago
7 0

Answer:

ii) 1

Step-by-step explanation:

Let p(x) = x^3-2ax^2+16

<u><em>Given that x+2 = 0 </em></u>

Then => x = -2

Putting this in p(x)

p(-2) = (-2)^3-2a(-2)^2+16

<u><em>By remainder theorem , Remainder will be zero</em></u>

0 = -8-8a+16

0 = -8a+8

-8a = -8

<em>Dividing both sides by -8</em>

<em>=> </em><em>a = 1</em>

grandymaker [24]3 years ago
3 0

Answer:

a=1 is the answer

Step-by-step explanation:

let

p(x)=x³-2ax²+16

put x= -2

p(-2)=(-2)³-2a(-2)²+16

p(-2)=-8+16-8a

p(-2)=8-8a

as (x+2) is a factor of p(x) then p(x) is equal to zero

8-8a=0

8=8a

a=1

i hope this will help you

You might be interested in
The length of an object is measured as 34.8 centimeters. What is this measurement in scientific notation?
harkovskaia [24]

Answer:

34.8 x 10 to the power of 0.

Step-by-step explanation:

hope this helps

3 0
2 years ago
A taxi driver charges a flat rate of $3.50 plus an additional $1.65 per mile. If Mohammad wants to spend, at most, $60, how far
Elena-2011 [213]

Answer:

11.6 should be your answer!

Step-by-step explanation:

Im so sorry if its wrong!

Hope this helps!!

( > .< )

6 0
3 years ago
Which of the binomials below is a factor of this trinomial?
8_murik_8 [283]

Answer:

C. x - 4

Step-by-step explanation:

The best way to do this is to first take out GCF

6(x² - x - 12)

Then we factor

6(x - 4)(x + 3)

We can now see our answer.

8 0
3 years ago
Read 2 more answers
Can someone please help me with this help me please!!!​
vovangra [49]

Answer:

These are all mathematical divisions of time. Fractions are used in music to indicate lengths of notes. In a musical piece, the time signature tells the musician ...

step-by-step equations:

Music is made up of all sorts of rhythms, and each rhythm can be broken down into smaller pieces: measures, which are fractions of rhythmic phrases, and beats, ...Step-by-step explanation:

8 0
3 years ago
Let g(x) = 3x + 2. If g(x) = 11, what is x?
astraxan [27]

Answer:

3=x

Step-by-step explanation:

11=3x+2

5 0
3 years ago
Other questions:
  • If you were to round off the measurement 2.33501 grams to three digits, you would get
    15·1 answer
  • Help me solveee please
    13·1 answer
  • Please help me with this question <br> I will mark brainliest <br> Thanks so much
    11·2 answers
  • Need Help with Polynomials
    5·1 answer
  • Lucy spent a total of $6.60 on 5 apples and a package of grapes. If the package of grapes cost $2.35, how much did each apple co
    13·1 answer
  • Sydney is going to a carnival that has games and rides. Each game costs $1.25 and
    15·1 answer
  • Why do i have no rank ?
    15·2 answers
  • Which number line shows the solution to this inequality??<br><br> Pls help it’s very easy !!
    6·2 answers
  • Can someone please help me please?
    15·2 answers
  • Which point on the graph represents the y-intercept?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!