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-BARSIC- [3]
3 years ago
5

Synthetic division And the Remainder theorem

Mathematics
2 answers:
stealth61 [152]3 years ago
6 0
The remainder theorem says that if x-c is a factor of a polynomial p(x), then the remainder upon dividing \dfrac{p(x)}{x-c} is 0 so that there exists a lower degree polynomial q(x) as the quotient:

\dfrac{p(x)}{x-c}=q(x)

Using the fact that x-2 is a factor, you can find a quadratic q(x) which is easy to factorize further.

Synthetic division yields

q(x)=4x^2+4x-8

which can be factored further as

4(x^2+x-2)=4(x+2)(x-1)

So,

f(x)=4x^3-4x^2-16x+16=4(x-2)(x+2)(x-1)

The roots are then x=-2,1,2.


Rzqust [24]3 years ago
6 0

Answer:

The answer to this question is "B.) x = -2, x = 1, or x = 2"

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NEED HELP PLEASE!!!<br><br> Given f(x)=9x+4 and g(x)= -5x+1, what is g(x)-f(x)?
GenaCL600 [577]

Answer:

g(x) - f(x) = -14x - 3

Step-by-step explanation:

We need to subtract the function f(x) = 9x + 4 from the function g(x) = -5 + 1.  Rewriting these two functions in columns, we get

       g(x)= -5x+1

      - f(x) = -(9x+4)         Note:  Use parentheses as shown here.

--------------------

g(x) - f(x) = -14x - 3

6 0
3 years ago
Does anyone know how to do this
Scilla [17]

Answer:

7 {x}^{2}  + 28x - 35 = 0

7 {x}^{2}  + 35x - 7x - 35 = 0

7x(x + 5)  - 7(x + 5) = 0

(x + 5)(7x - 7) = 0

(x + 5)(x - 1)  = 0

3 0
3 years ago
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adult tickets to a play cost $22. tickets for children cost $15. tickets for a group of 11 people cost a total of $228. write an
Tom [10]

Adults = 9

Children = 2


Let x be the number of adults.

11-x is the number of children.


22x + 15(11-x) = 228

22x + 165 - 15x = 228

22x - 15x = 228 - 165

7x = 63

7x / 7 = 63 / 7

x = 9  number of adults.


11 - x = 11 - 9 = 2 number of children.


To check:


22x + 15(11-x) = 228

22(9) + 15(11-9) = 228

198 + 30 = 228

228 = 228


(not my answer btw)

3 0
3 years ago
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A coin is tossed twice. Let H represents heads, T represents tails, and the combination of the two letters represent the outcome
denis23 [38]

Answer:

{HH, HT, TH, TT}

Step-by-step explanation:

The set of all possible outcomes in tossing a coin twice is;

{HH, HT, TH, TT}

In the first toss the coin may land Heads. In the second toss the coin may land Heads or Tails. This can be represented as;

HH, HT

Heads in the first and second tosses. Heads in the first toss followed by a Tail in the second toss.

In the first toss the coin is also likely to land Tails. In the second toss the coin may land Heads or Tails. This can be represented as;

TH, TT

Tails in the first toss followed by a Head in the second toss. Tails in the first and second tosses.

Combining these two possibilities will give us the set of all possible outcomes in tossing a coin twice is;

{HH, HT, TH, TT}

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As a Given the function f(x) = - 3x + 2 then what is - 2f * (x) as a simplified polynomial ?
Lady bird [3.3K]

Answer: 6x - 4

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