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
sleet_krkn [62]
2 years ago
12

If f(x)= 2x^3-12x^2+20x-16 and f(4)= 0, then find all the zeros of f(x) algebraically

Mathematics
1 answer:
Sonja [21]2 years ago
8 0

Answer:

  • x = 4 is the only real zero

Step-by-step explanation:

<u>Find the zero's of f(x)</u>

  • 2x³ - 12x² + 20x - 16 = 0
  • x³ - 6x² + 10x  - 8 = 0
  • x³ - 4x² - 2x² + 8x + 2x - 8 = 0
  • x²(x - 4) - 2x(x - 4) + 2(x - 4) = 0
  • (x - 4)(x² - 2x + 2) = 0
  • (x - 4)(x² - 2x + 1 + 1) = 0
  • (x - 4)[(x - 1)² + 1] = 0
  • x - 4 = 0 ⇒ x = 4, we already know this
  • (x - 1)² + 1 = 0 ⇒ (x - 1)² = - 1, no real solution as the square is never negative
You might be interested in
Trina wants to hang-glide at the same number of meters above sea level as she scuba-dived below sea level.will she fly higher th
mihalych1998 [28]
I need more information, do you know how high Jessie flew and how low under sea level she went?
6 0
3 years ago
The equation below describes a parabola. If a is negative, which way does the parabola open? x = ay2
Anastasy [175]
This type of parabola opens either to the left or to the right. The negative makes it open to the left.
8 0
3 years ago
Read 2 more answers
Place values for 249.673
irakobra [83]
Hi! 

This question is worded a little funny, but i think in understand what it's asking. Forgive me if i'm wrong. 

Place values in math are pretty self-explanatory. It's just asking you what place each number is in.

For example:

If you were to write the number 12, the 1 would be in the tens place and the 2 would be in the ones place. 

When speaking about decimals, you pretty much just have to add the letters 'th' to the end of the place value, but instead of decreasing as the numbers grow smaller, you increase and the ones place doesn't exist. 

So in this case:

With 249.637, 2 is in the hundreds place. 4 is in the tens place. 9 is in the ones place. 6 is in the tenths place. 7 is in the hundreths place. 3 is in the thousandths place. 

Hope this helps :)
3 0
3 years ago
Is this linear or exponential? or neither
Brrunno [24]

Answer:

Exponential

Step-by-step explanation:

3 0
3 years ago
What is question A and B?
Mrac [35]

Answer:

Jo turned around and walked back to the starting point

8 km/hr

Step-by-step explanation:

4 km/one-half hr = 8 km/hr

8 0
3 years ago
Read 2 more answers
Other questions:
  • P(x)=90-3x 1&lt;x&lt;20 what is the revenue function
    8·1 answer
  • Can someone explain major and minor arcs in relation to circles.
    8·1 answer
  • What is the answer ?
    14·1 answer
  • If ab = 8 and a^2 + b^2 = 16, then what is the value of (a+b)^2?<br><br> 25 POINTS
    9·2 answers
  • There are 36 female teachers and 12 male teachers at Rachel's high school. What is the ratio of
    14·1 answer
  • Using soh cah toa find length of WX and round to the nearest tenth of a foot?
    13·2 answers
  • Elizabeth is spinning a spinner with 5 equal sized sections. The sections are
    11·2 answers
  • Please help!! 14 points!!!
    12·1 answer
  • Solve the inequality.-5 (x-1) &gt; -40
    8·1 answer
  • Determine what number to multiply the first equation by to form opposite terms for the x-variable. 2/5 x + 6y = -10 –2x – 2y = 4
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!