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
fomenos
3 years ago
6

David found and factored out the GCF of the polynomial 80b4 – 32b2c3 + 48b4c. His work is below. GFC of 80, 32, and 48: 16 GCF o

f b4, b2, and b4: b2 GCF of c3 and c: c GCF of the polynomial: 16b2c Rewrite as a product of the GCF: 16b2c(5b2) – 16b2c(2c2) + 16b2c(3b2) Factor out GCF: 16b2c(5b2 – 2c2 + 3b2) Which statements are true about David’s work? Check all that apply. The GCF of the coefficients is correct. The GCF of the variable b should be b4 instead of b2. The variable c is not common to all terms, so a power of c should not have been factored out. The expression in step 5 is equivalent to the given polynomial. In step 6, David applied the distributive property.
Mathematics
3 answers:
BlackZzzverrR [31]3 years ago
7 0

Answer: The correct statements are

The GCF of the coefficients is correct.

The variable c is not common to all terms, so a power of c should not have been factored out.

David applied the distributive property.

Step-by-step explanation:

GCF = Greatest common factor

1) GCF of coefficients : (80,32,48)

80 = 2 × 2 × 2 × 2 × 5

32 = 2 × 2 × 2 × 2 × 2

48 = 2 × 2 × 2 × 2 × 3

GCF of coefficients : (80,32,48) is 16.

2) GCF of variables :(b^4,b^2,b^4)

b^4= b × b × b × b

b^2 = b × b

b^4 =b × b × b × b

GCF of variables :(b^4,b^2,b^4) is b^2

3) GCF of c^3 and c: c is not the GCF of the polynomial. The variable c is not common to all terms, so a power of c should not have been factored out.

4) 80b^4-32b^2c^3+48b^4c

=16b^2(5b^2-2c^3+3b^2c)

David applied the distributive property.

Vsevolod [243]3 years ago
7 0
Ok, so notice there is no c in 80b^4

answer is gcf of coefients are corrrect
variable c is not common to all terms so it shouldn't be factored out
step 6 davide applied reverse distributive
aleyah 3 years ago
1 0

The GCF of the coefficients is correct.

The variable c is not common to all terms, so a power of c should not have been factored out.

In step 6, David applied the distributive property.

You might be interested in
Use fraction multiplication to show how you can find the measure of a right angle.
ryzh [129]
A right angle is 90*
so 90/360 is da ansa XD ansa
5 0
3 years ago
Read 2 more answers
What's the answer for this? Explain
alexandr402 [8]
Exterior angle is equal to sum of interior opposite angles hence,

req. angle = 80 + 62 = 142
6 0
3 years ago
Read 2 more answers
If a system of linear equations has an infinite number of solutions, what do you know about the graph of the system?
exis [7]
The answer is B because they never pass through each other therefore it has infinite possibilities
7 0
3 years ago
A B means:
SVETLANKA909090 [29]

Answer:

A is a subset of B i believe that's the answer

8 0
3 years ago
Teje ratio of adulta to children attedening a new exhibit at the museum was found 8:5 based on this ratio if 390 people attended
Ratling [72]
8x - adults
5x - children

8x+5x=390\\
13x=390\\
x=30\\\\
5x=5\cdot30=150
8 0
3 years ago
Other questions:
  • What is the average of 36 and 83 ?
    13·2 answers
  • SOMEONE PLEASE HELP!!!!! NOBODY IS HELPING ME!!!!! WILL GIVE BRAINLIEST
    8·2 answers
  • What is 1.1 (.1 repeating) as a fraction?
    7·1 answer
  • HELP!!! ASAP
    9·1 answer
  • Linda, Ahmad, goran sent a total of 108 text messages. Goran sent 4 times as many as Linda. Linda sent 6 fewer than ahMad. How m
    10·1 answer
  • Subtract 1/6a+3 from 1/3a−5 . Please Help Will Give !Brainliest! and Medals!!!!!!
    13·1 answer
  • PH is the midsegment of Triangle KLM. Find the value of x.
    10·1 answer
  • Please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
    10·2 answers
  • Evaluate the expression below for s=2 and t=7
    11·1 answer
  • Find the value of x.
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!