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
cricket20 [7]
3 years ago
6

Use the remainder theorem to find P (3) for P(x) = 2x² - 4x^2- 3.

Mathematics
1 answer:
ladessa [460]3 years ago
6 0

Answer:

P(2) = 4

Step-by-step explanation:

P(X) = -2X4 + 4X3 - X + 6

Use the remainder theorem to find quotient and remainder and the value of P(2)

 

First add in any missing exponents:  P(x) = -2x4 + 4x3 + 0x2 -x + 6

 

Write all the coefficients in a line (including the constant) with the number being solved for off to the left:

 

Bring down the first coefficient (-2), multiply it by the term in question (2), carry the product up under

the 2nd coefficient and then add down (4-4=0), carry up the sum and repeat process across.  The last

sum is the answer for P(2)

 

 

(2)   -2    4    0    -1    6

            -4    0      0  -2

      __________________

       -2   0    0     -1   4

 

P(2) = 4

 

check the answer:  P(2) = -2(24) + 4(23) -2 + 6 = -2(16) +4(8) + 4 = 4    Our answer is correct

 

The quotient is what we would bet by dividing the original equation by the polynomial (x-2). The

answer is given by the bottom numbers which will begin an one lower exponent than the original.

Quotient is:   -2x3 + 0x2 + 0x -1 = 2x3 - 1

The remainder is:   4/(x-2)

You might be interested in
The Apple Watch was on sale for $474.60. Find the original price of the Apple Watch if it had been reduced by 30%
kondor19780726 [428]

Answer:616.98

Step-by-step explanation:

5 0
3 years ago
Use the Pythagorean Theorem to determine which of the following give the measures of the legs and hypotenuse of a right triangle
kakasveta [241]

The Pythagorean theorem states that the square of the hypotenuse is equal to  the sum of the squares of the legs:

c^2=a^2+b^2.

The hypotenuse is the side with the greatest length.

Check all options:

1. c=5, a=3, b=4:

5^2=25,\\3^2+4^2=9+16=25,\\5^2=3^2+4^2 true.

2. c=14, a=4, b=11:

14^2=196,\\4^2+11^2=16+121=137,\\14^2\neq 4^2+11^2 false.

3. c=17, a=9, b=14:

17^2=289,\\9^2+14^2=81+196=277,\\17^2\neq 9^2+14^2 false.

4. c=16, a=8, b=14:

16^2=256,\\8^2+14^2=64+196=260,\\16^2\neq 8^2+14^2 false.

5. c=17, a=8, b=15:

17^2=289,\\8^2+15^2=64+225=289,\\17^2=8^2+15^2 true.

Answer: correct options are A and E.

4 0
3 years ago
Read 2 more answers
Which of the following is a multiple of 4?
bagirrra123 [75]
The answer is A. if you divide 620 by four you would get 155 and the rest would have a decimal
4 0
3 years ago
Read 2 more answers
Please help and explain :)
pentagon [3]
This question is asking which two numeric values are closer to each other. The smallest gap in between Mercury, and Helium, which is the answer
6 0
3 years ago
This is not a question, this is for who-ever needs it.
Eddi Din [679]

Answer:

thank you so much!

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • Which shows all the names that apply to the figure?
    9·2 answers
  • Multiply the following expression. Show work<br> (3y - 8)(-2+ y)
    7·1 answer
  • Please Solve: Common Factors Of Polynomials
    14·1 answer
  • Need help ASAP, show work if you would like completely fine if not tho
    14·1 answer
  • Find the product of 3 1/3 x 2 3/4
    8·1 answer
  • What 2 numbers add up to 2 and multiply to -24?
    6·1 answer
  • I need I will most definitely mark brain-iest ?!
    14·2 answers
  • If i ate 20 candy bars and 40 more what do i have
    10·1 answer
  • Helppppppppppppppppppppp
    13·2 answers
  • A water tank contains 12 1/2 liters of water. Two- fifth of it was consumed. How much of it was left?​
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!