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
77julia77 [94]
3 years ago
9

Use synthetic division to show that the number given to the right of the equation is a solution of the equation. Then solve the

polynomial equation.
2x^(3)+x^(2)-8x-4=0; 2

Mathematics
1 answer:
AysviL [449]3 years ago
8 0

Answer:

x = 2 \: or \: x =  - 2 \: or \: x =  -  \frac{1}{2}

Step-by-step explanation:

The given polynomial equation is

2 {x}^{3}  +  {x}^{2}  - 8x - 4 = 0

We perform the synthetic division as shown in the attachment by dividing by x-2.

This gives a remainder of 0 and a quotient of

2 {x}^{2}  + 5x + 2

This means the polynomial equation becomes:

(x - 2)(2 {x}^{2}  + 5x + 2) = 0

We factor the quadratic term by splitting the middle term;

(x - 2)(2 {x}^{2}  + 4x +x +  2) = 0

(x - 2)(2 x(x+ 2) +1(x +  2) )= 0

Collect common factors again:

(x - 2)((x+ 2)(2x +  1) = 0

The solution is:

x = 2 \: or \: x =  - 2 \: or \: x =  -  \frac{1}{2}

You might be interested in
Find the area of the trapezoid
nata0808 [166]

Answer:

15 + 23 = 38

38 x 9 = 342

342 x 1/2 (basically just dividing by 2) 171

Step-by-step explanation:

Formula of a trapezoid:

B1(base 1) + B2(base 2) x H(height) x 1/2(basically just dividing by 2)

In this case,

12 and 23 are your bases, 9 is your height.

7 0
3 years ago
Pair of correspnding angles
swat32
The pair of corresponding angles have parallel lines that have to equal
8 0
3 years ago
Which number is a factor of 12 but not a multiple of 3?
Delvig [45]
First list all the factors of 12;

1, 2, 3, 4, 6, 12

now let's see which ones are multiples of 3;

3, 6, 12 

so all we have left are numbers 1, 2 and 4.

hope that helps, God bless!
6 0
3 years ago
Jada's sister works in a furniture store.
Bingel [31]

Answer:

1) $16.35

2) 75%

3) $245  

Step-by-step explanation:

1) Jada earns = $15 per hour

  9% increase = 15 * 9/100 = $1.35

  Increased Jada's pay = 15+1.35 = $16.35

2) Markup = selling price - cost= $350 - 200= $150

   Markup % = \frac{sale price - cost }{cost}*100 \

                      = \frac{150}{200}*100 = 75%

3) Jada's sister commission is 3.5% of $7000

          = \frac{3.5}{100}* 7000

           = $245  

5 0
2 years ago
Help answer if u know
Setler [38]

Answer:

b = 6 / 1/4

Step-by-step explanation:

C)

7 0
3 years ago
Read 2 more answers
Other questions:
  • 1. the product of 7 and a number
    10·2 answers
  • What is the 4-digit reading on this meter?
    9·1 answer
  • ASAP!! HEEELPPPP!!
    11·1 answer
  • Evaluate the following expression using the values given:
    13·1 answer
  • Help! How do you write 5x+12=x^2 in standard form ??
    8·1 answer
  • PLEASE HELP!!!!!
    14·1 answer
  • Leia cuts congruent triangular patches with an area of 27 square centimeters from a rectangular piece of fabric that is 27 centi
    10·1 answer
  • Tn=2n-5n, find t7=<br> A)93<br> B)21<br> C)75<br> D)54
    14·1 answer
  • URGENT! In ABC. what is the value of r?
    6·1 answer
  • Which expression is equivalent to <img src="https://tex.z-dn.net/?f=-4x%5E%7B-5%7D%20x%5E%7B0%7D" id="TexFormula1" title="-4x^{-
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!