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
ludmilkaskok [199]
3 years ago
6

Divide the following polynomial using synthetic division, then place the answer in the proper location on the grid. Write answer

in descending powers of x. (x3 + 6x2 + 3x + 1 ) ÷ (x - 2)
Mathematics
2 answers:
Natalija [7]3 years ago
7 0
X^2+8x+19+39/(x-2)
I cant show how to use synthetic unless I attach a file
Gnesinka [82]3 years ago
3 0

Answer:

[1.(x)²+ 8.(x) + 19] + \frac{39}{(x - 2)}

Step-by-step explanation:

The given polynomial is (x³+ 6x²+ 3x + 1) and we have to divide this polynomial by (x - 2) using synthetic division.

In synthetic division, we divide coefficients of the given terms of the polynomial by (x -2) = 0 ⇒ x = 2

So,      <u>2</u>|      1       6        3         1         ---------[ coefficients]

                   <u>         2       16       38       </u>

                   1       8        19       39

Let me explain it. In first row i have written the coefficients of the terms given in the polynomial 1.x³ + 6.x² + 3x + 1

In the first row I have written 2 in the left side before 1. This is the number by which i am going to divide the coefficients written in the first row.

Now I copied 1 at the bottom (below the line).

Then 2×1 = 2 (written in second row) added with 6 gave 8 at the bottom.

then 8×2 = 16 (written in second row) added with 3 gave 19 at the bottom.

19×2 = 38 (written in second row) added with 1 gave 39 at the bottom.

Now we will rewrite the expression

[1.(x)²+ 8.(x) + 19] + \frac{39}{(x - 2)}

Here highlighted part give in the bracket is the quotient and 19 is the remainder.

You might be interested in
Given: A =( 2 , 4 , 6 , 18 , ) B = ( 2 , 4 , 6 , 8 , ) C = ( 4 , 10 , 12 , ) What is A U B C?
Anni [7]
2,4,6,8,10,12,18 is the answer
4 0
3 years ago
Read 2 more answers
Plz help me out with this one. :(
Anettt [7]
I think it is C)
I’m really sorry if I’m wrong.
4 0
3 years ago
36A^4+16Y^2<br> Can someone help me
Alenkasestr [34]

Answer:

4(9a^4+4y^2)

Step-by-step explanation:

factor out common term

6 0
3 years ago
10) Alayah's puppy weighed 12 lbs. when they brought it home from the Humane Society.
TEA [102]
It gained 4 lbs:) 6*4 = 24
24+12 = 36
3 0
2 years ago
All it's asking is to solve, I've tried to drop the exponent down but I get stuck
Deffense [45]
X^6= 3^12
(X^6) ^1/6. = (3^12)^1/6
X=9
6 0
3 years ago
Other questions:
  • if 6 banannas are $1.50 and 5 oranges are $3.00 how much would it cost if i buy 2 banannas,and 2 oranges.
    12·2 answers
  • What is the number after trillion?
    14·2 answers
  • What is the lcm of 86, 68, and 20?
    13·1 answer
  • Which expression is the result of the perimeter of rectangle b minus the perimeter of rectangle a
    9·1 answer
  • Angles ∝ and β are the two acute angles in a right triangle. Use the relationship between sine and cosine to find the value of ∝
    15·1 answer
  • Shown here is a triangular striped sail, together with some of its dimensions. In the diagram, segments BJ, CI, and DH are all p
    10·1 answer
  • Can someone please help me with this question
    7·2 answers
  • PLEASE HELP ASAP PLLSSS!!!!
    10·1 answer
  • You roll a fair 666-sided die. What is \text{P(roll greater than 4})P(roll greater than 4)start text, P, left parenthesis, r, o,
    13·1 answer
  • Let y = 2(x – 5)2 – 6.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!