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
dimaraw [331]
3 years ago
6

If f(c)=0, which of the following statements must be true?

Mathematics
2 answers:
Tju [1.3M]3 years ago
7 0

Answer:

C.

Step-by-step explanation:

If f(c)=0 then (c,0) is on the graph.

In general, if f(a)=b then (a,b) is on the graph.

By factor theorem if f(c)=0 then x-c is a factor.

If x-c is a factor then x-c will divide f(x) evenly.  We know this because the remainder will be 0 because we know x-c is a factor of f.

The only choice that I have said in this whole thing that is true is C.

fgiga [73]3 years ago
4 0

Answer:  The correct option is

(C) x-c is a factor of f(x).

Step-by-step explanation:  Given that for a function f(x), f(c) = 0.

We are to select the true statement from the given options.

We have the factor theorem as follows :

<u><em>Factor theorem :</em></u>  If p(a) = 0 for a polynomial function p(x), then (x-a) is a factor of p(x).

According to the given information, we have

f(c) = 0.

Therefore, (x-c) is a factor of f(x).

Thus, (C) is the correct option.

You might be interested in
What is the solution of √1-3x = x+3 ?<br><br><br>​
Vadim26 [7]

Answer:

{-1, -8}

Step-by-step explanation:

Please enclose "1 - 3x" inside parentheses so the reader will know that you want the square root of all of "1 - 3x".

Squaring both sides of the given equation, we get:

1 - 3x = x^2 + 6x + 9, or  x^2 + 6x + 8 + 3x, or

x^2 + 9x + 8 = 0.  Factoring, we get:  (x + 8)(x + 1) = 0, so that the solutions are {-1, -8}.

5 0
3 years ago
Read 2 more answers
On an icy day, Sarah dropped her cell phone on the road near the top of a hill. The phone slid down the slippery street with an
Fittoniya [83]

Answer:

no, it was 0.55

Step-by-step explanation:

do 6.5x85 and then make all the numbers a decimal, which is 0.5525


3 0
3 years ago
Read 2 more answers
Find the measure of the indicated angle to the nearest degree.<br> 12<br> 22
Pani-rosa [81]

Answer:

sadly, there is no indicated angle. you have to attach a photo/screenshot of your problem for anyone to help. There is limited information given from your question.

Step-by-step explanation:

7 0
3 years ago
A family is building a circular fountain in the backyard. The yard is rectangular and measures 10x by 15x and the fountain is go
ohaa [14]
Do you have Multiple choice or do you have to do it by paper<span />
3 0
3 years ago
Select the correct answer.
FrozenT [24]

Shouldn't the equation read " (x - 4)² = 81 ", instead of "(1 - 4)² = 81" ?

If so, then the solutions are  x = -5  and  x = 13 .

If it's really "(1 - 4)² = 81", then that's not even an equation, and there's no solution.

3 0
3 years ago
Other questions:
  • 12−(3x+13)=0<br> Someone plz tell me i will mark brainliest
    14·2 answers
  • Estimate how many times larger 7 x 10^10 is than 13 x 10^8.
    11·2 answers
  • The matrices shows the number of dance students enrolled in each type of class for two different years.
    13·2 answers
  • 4
    15·2 answers
  • Solve each system of eaquasions x+4y=4 -x+2y=8​
    11·2 answers
  • Please help, Look at the picture
    15·1 answer
  • Find the common difference of the arithmetic sequence, the next three terms, the equation, and the term given for 8, 10, 12, 14
    12·1 answer
  • I need the answer help<br>​
    13·2 answers
  • What is the center and radius of the circle defined by the equation (x-4)^2+(y-7)^2=49
    5·2 answers
  • Melinda earned $550 in one month and saved 30% of her earnings. She is saving for a new bicycle which costs $825.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!