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
ki77a [65]
3 years ago
5

Given a polynomial f(x), if (x − 4) is a factor, what else must be true? f(0) = 4 f(0) = −4 f(4) = 0 f(−4) = 0

Mathematics
2 answers:
I am Lyosha [343]3 years ago
8 0

Answer:

f(4) = 0

Step-by-step explanation:

daser333 [38]3 years ago
5 0

<u>Question</u><u>:</u>

Given a polynomial f(x), if (x − 4) is a factor, what else must be true?

  • f(0) = 4
  • f(0) = −4
  • f(4) = 0
  • f(−4) = 0

_______________________________________

<u>Solution</u><u>:</u>

f(x) is a polynomial.

(x - 4) is a polynomial of f(x).

By converse of factor theorem: If (x - a) is a factor of f(x), then, f(a) = 0.

On comparing (x - 4) with (x - a), we get,

  • a = 4

So,

f(a) = 0

=> f(4) = 0

You might be interested in
An equation in the form ax2+bx+c=0 is solved by the quadratic formula. The solution to the equation is shown below.x=−7±√ "572"
7nadin3 [17]

Answer:

B: a = 1, b= 7, c = -2

Explanation:

\sf Quadratic \ Equation : \dfrac{-b\pm \sqrt{b^2 - 4ac} }{2a}

Knowing This:

<u>solve for b</u>

  • -b = -7
  • b = 7

<u>solve for a</u>:

  • 2a = 2
  • a = 1

<u>solve c</u>:

  • b² - 4ac = 57
  • 7² - 4(1)(c) = 57
  • -4c = 57 - 49
  • -4c = 8
  • c = 8/-4 = -2
4 0
1 year ago
Read 2 more answers
The average value of all the pennies, nickels, dimes, and quarters in Paula's purse is 20 cents. If she had one more quarter, th
sveta [45]

Answer:

Step-by-step explanation:

The average value of all the pennies, nickels, dimes, and quarters in Paula's purse is 20 cents. If she had one more quarter, the average value would be 21 cents. How many dimes does she have in her purse

7 0
1 year ago
Pop said, "I have three grandchildren on my knee: Vera, Chuck and Dave. "Chuck is three years younger than Dave.
Ostrovityanka [42]
Okie dokie buddy pokie
8 0
3 years ago
Help: I am a number between 60 and 100. My ones digit is six less than my tens digit. I am a prime number.
Reptile [31]

Answer:

Let's name the digit:

x- ones digit

y - tens digit

we know that x=y-2.

Now, y can be 6,7,8,9 (the number is between 60 and 100 (so depending on your understanding of "between", 0 is also possible. but then the number would have to have -2 as its ones digit, so in any case, it's not possible).

So the possibilities with x=y-2:

64

75

86

97

Out of those 64 and 86 are even, so they can't be prime.

75 has 5 in its ones number: it's divisible by 5.

so the correct answer is 97.

Step-by-step explanation:

Hope this helps!

5 0
3 years ago
Read 2 more answers
In the following exercises, multiply the binomials. Use any method.<br> 248. (m + 11)(m − 4)
romanna [79]

Answer:

Hence the expression $$(m+11)(m-4)=m^2+7m-44$$

Step-by-step explanation:

Explanation

  • The given expression is (m+11)(m-4).
  • We have to multiply the given expression.
  • Multiply the (m+11) by -4, multiply the (m+11) by m then add like terms.

$$\frac{\begin{matrix}{} & {} & m & + & 11 \\ \times & {} & m & - & 4 \\ \end{matrix}}

_____________

{\frac{\begin{matrix}{} & - & 4m & - & 44 \\ {{m}^2} & + & 11m & {} & {} \\ \end{matrix}}{\begin{matrix}{{m}^2} & + & 7m & - & 44 \\ \end{matrix}}}$$

6 0
1 year ago
Other questions:
  • Need answer please ​
    13·2 answers
  • Cost to store= $162 markup= 40%
    6·1 answer
  • Jane walk 4 miles each week for one month how many miles does she walk altogether
    12·1 answer
  • A boy received 2 hamsters for christmas. after one year he had 4, after two years he had 12, and after three years he had 48. ho
    8·2 answers
  • you lose 5 points for every wrong answer in trivia game. what interger reprsents the change in your points after answering 8 poi
    15·1 answer
  • En una reunión de 40 viejos piratas, 1/5 tenían una pata de palo y los 3/4 de ellos habían navegado en El Corsario. ¿Cuántos pir
    5·1 answer
  • Sharon work 45 ½ hours. Her hourly wage is $18/hr. What is her gross pay
    15·1 answer
  • Is this enough to see​
    15·2 answers
  • Determine the explicit formula for the following arithmetic sequence. Put it in the form
    13·1 answer
  • I really ned help on this, any answers?​
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!