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
xxMikexx [17]
3 years ago
10

F(x)=2x^3+ax^2-37x-60 The binomial x-4 is a factor of f(x). Find the value of a.

Mathematics
1 answer:
jekas [21]3 years ago
6 0

Given:

The function is

f(x)=2x^3+ax^2-37x-60

The binomial x-4 is a factor of f(x).

To find:

The value of a.

Solution:

If x-c is a factor of f(x), then f(c)=0.

It is given that, x-4 is a factor of f(x), then f(4)=0.

We have,

f(x)=2x^3+ax^2-37x-60

Substituting x=4, we get

f(4)=2(4)^3+a(4)^2-37(4)-60

f(4)=2(64)+a(16)-148-60

f(4)=128+16a-208

f(4)=16a-80

Now,

f(4)=0

16a-80=0

16a=80

a=\dfrac{80}{16}

a=5

Therefore, the value of a is 5.

You might be interested in
What is the value of 10x+1 3
Veseljchak [2.6K]

SOLUTION

In this question, we are meant to expand the expression:

(10x+1)^{3\text{ }}\text{ = ( 10 x + 1 ) (10 x + 1 ) ( 10 x + 1 )}\begin{gathered} (10x+1)(10x+1)=100^{}x^2\text{ + 20 x + 1} \\ \text{Then,} \\ (100x^2+20x+1)(10x+1)=1000x^{3\text{ }}+200x^2+10x+100x^2\text{ + 20 x + 1} \\ \text{ = 1000 x}^{3\text{ }}\text{ + }300x^2\text{ + 30 x + 1} \\  \\ \text{CONCLUSION: ( 10 x + 1 )}^{3\text{ }}=1000x^{3\text{ }}+300x^2\text{ + 30 x +1} \end{gathered}

7 0
1 year ago
Y = f(x) + 3<br> describe the functions that take place
hram777 [196]

Answer:

A function can be reflected about an axis by multiplying by negative one. To reflect about the y-axis, multiply every x by -1 to get -x. To reflect about the x-axis, multiply f(x) by -1 to get -f(x).

Step-by-step explanation:

8 0
4 years ago
How do you solve this ?
sesenic [268]
2048
that the answer o think
7 0
4 years ago
Read 2 more answers
JORDEN qqwertyyyyy
Inessa05 [86]

Answer:

i

Step-by-step explanation:

3 0
3 years ago
What is 986 divided by 68
Andreyy89

Answer: 14.5

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Other questions:
  • Through a given point p on a plane how many lines can be drawn that are perpendicular to that plane
    14·1 answer
  • Two charges: q1=5C and q2= -3C are separated by 3.6 * 10^-6m. What is the force between them? Do the charges repel or attract?
    10·1 answer
  • Elevator 1 in a building moved from ground position to a final position of +17 feet. Elevator 2 in the same building moved from
    5·2 answers
  • Simplify.<br><img src="https://tex.z-dn.net/?f=%20-%20%286p%20%7B%7D%5E%7B2%7D%20%20-%20q%20-%204%29%20%2B%20%283%20-%20p%20%7B%
    6·1 answer
  • Kira bought a picture frame.a calculator, and a toy. The picture frame cost four times as much as the calculator. The calculator
    11·1 answer
  • Choose the best graph that represents the linear equation:<br> 6x = y + 8
    13·1 answer
  • 4.9t^2-2.78t-1.15=0 what is the value of T
    10·1 answer
  • PLZ PLEASE OMG PLEASE
    5·1 answer
  • corey paid for a dinner and left a 15% or $3.45 in tips. How much was the original bill without counting the tip?
    8·2 answers
  • Which of these is the quadratic parent function?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!