Question
Asked Nov 11, 2019
6 views
Use polynomial long division to rewrite f as f = g q+ r for each of the following
Question 2:
(a) Divide f(x) = 6x3 - 12x2 +8x
- 16 by the linear polynomial g(x) = 2x - 4.
(b) Divide f(z) = 3x3 - 8x2+x - 5 by the linear polynomial g(x)= 3x - 2.
help_outline

Image Transcriptionclose

Use polynomial long division to rewrite f as f = g q+ r for each of the following Question 2: (a) Divide f(x) = 6x3 - 12x2 +8x - 16 by the linear polynomial g(x) = 2x - 4. (b) Divide f(z) = 3x3 - 8x2+x - 5 by the linear polynomial g(x)= 3x - 2.

fullscreen
check_circle

Expert Answer

Step 1

According to the given question in part (a):

help_outline

Image Transcriptionclose

f(x) 6x -12.x2 +8x-16 8 (х) - 2х - 4

fullscreen
Step 2

Now divide f(x) by g(x) using long division:

help_outline

Image Transcriptionclose

Qlx) +4 2x-4 60-122+8x-16 Gpr-122 8f-16 8/r-16 ( Rlx)

fullscreen
Step 3

Now,

R(x) = 0

Q(x) = 3x2+4

G(x) = 2x-4

So, f(x) = (2x-...

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Math

Algebra

Other

Related Algebra Q&A

Find answers to questions asked by student like you
Show more Q&A
add
question_answer

Q: Two​ joggers, one averaging 6 mph and one averaging 5 mph, start from a designated initial point. Th...

A: Given:Two joggers, one averaging 6 mph and one averaging 5 mph, start from a designated initial poin...

question_answer

Q: what are the blanks

A: Monthly decay factor = 0.85 There are 4 weeks each month.Let weekly decay factor = k Then k^4= 0.85k...

question_answer

Q: Express the following function in vertex form. y=3x2+6x-13

A: We have given the function

question_answer

Q: Consider the following data. x 2 2.2 2.4 2.6 f 9.0 8.4 7.8 7.2 (a) Test the data to see wh...

A: a) To check whether the given data is linear or not.

question_answer

Q: Sally can paint a room in 7 hours while it takes Steve 9 hours to paint the same room. How long woul...

A: Given that sally can paint a house in 7 hours. This implies that sally’s work is 1/7.Steve can paint...

question_answer

Q: A plane can fly 200 mph in calm air. Flying with the wind, the plane can fly 633 mi in the same amou...

A: Given plane speed P=200 mphlate wind speed = W mph

question_answer

Q: THE PRINCIPAL P IS BORROWED  AND THE LOANS FUTURE VALUE A AT THE TIME  T IS GIVEN. DETERMINE THE LOA...

A: Given,Principal, P = 3100Future value, A = 3169.75Time in years, T = 9 months = (9/12) years = 0.75 ...

question_answer

Q: Write each fraction in terms of the LCM of the denominators. 5x x2 − 49 ,  x − 1 7x −...

A: Click to see the answer

question_answer

Q: Find the equation of the line joining the points (4, 9) and (2,0)                                   ...

A: Calculation: