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
VikaD [51]
3 years ago
6

Which of the binomials below is a factor of this trinomial ?10x^2+27x-28

Mathematics
2 answers:
aliya0001 [1]3 years ago
8 0

Answer:

47x - 28

Step-by-step explanation:

10x + 2 + 27x - 28

20x + 27x - 28

47x - 28

ki77a [65]3 years ago
4 0

Answer: 2x + 7

Step-by-step explanation:

APEX

You might be interested in
When a polynomial is divided by (x+2), the remainder is -19. When the same polynomial is divided by (x-1), the remainder is 2. D
NeTakaya
<h3>Answer:   7x - 5</h3>

============================================

Explanation:

We're dividing some unknown polynomial P(x) over (x+2) to get a quotient Q1(x) and remainder -19. That must mean

P(x)/(x+2) = Q1(x) - 19/(x+2)

P(x) = Q1(x)*(x+2) - 19

Note that plugging in x = -2 leads to P(-2) = -19. This is an example of the remainder theorem.  

Similarly,

P(x) = Q2(x)*(x-1) + 2

since dividing by (x-1) leads to a remainder of 2. We have P(1) = 2.

We'll use P(-2) = -19 and P(1) = 2 in the later sections below.

----------------

We want to find the value of r such that

P(x) = Q3*(x+2)(x-1) + r

Let's say that r = ax+b

Meaning we now have

P(x) = Q3*(x+2)(x-1) + r

P(x) = Q3*(x+2)(x-1) + ax+b

The goal from here is to find 'a' and b so we can get the remainder ax+b.

----------------

Plug in x = -2 and solve for b.

P(x) = Q3*(x+2)(x-1) + ax+b

P(-2) = Q3*(-2+2)(-2-1) + a(-2)+b

-19 = Q3*(0)(-3)-2a+b

-19 = -2a+b

b = 2a-19

----------------

Plug in x = 1 to get...

P(x) = Q3*(x+2)(x-1) + ax+b

P(1) = Q3*(1+2)(1-1) + a(1)+b

P(1) = a+b

2 = a+b

a+b = 2

a+(2a-19) = 2 .... plug in b = 2a-19

3a-19 = 2

3a = 19+2

3a = 21

a = 21/3

a = 7

Use that value to find b

b = 2a-19

b = 2(7)-19

b = 14-19

b = -5

----------------

We found that a = 7 and b = -5.

The remainder ax+b updates to the final answer 7x-5

6 0
3 years ago
2. What unit of measure would you use for the volume of water in a bathtub?
JulsSmile [24]

2. You would use liters for a bathtub.

3.You would use milliliters for a medicine capsule.


7 0
2 years ago
Please Help Me:!!!!!
butalik [34]

Answer:

Vertical stretch of factor of 3

translated to the right 2

translated up 5

Step-by-step explanation:

6 0
3 years ago
What will you get when you add two integers
dybincka [34]
Well, it depends if its positive or negative. 2 positive integers will equal a positive, 2 negatives will equal a negative. A negative and a positive will depend.
8 0
3 years ago
Read 2 more answers
On Friday it was 32 degrees at 6am and the temperature rose 3 degrees per hour for several hours. How many hours did it take the
sertanlavr [38]
At 1 pm is was 53 degrees
It took 7 hours
4 0
2 years ago
Other questions:
  • Thank You in advance:-) Sally has seven times as many dimes as nickels. Their value is $3.00. How many nickels does she have?
    13·2 answers
  • What is the value of x in the equation 3/2(4x – 1) – 3x = 5/4 – (x + 2)?
    12·1 answer
  • If two 2x2 matrices are inverses of each other, then multiplying them will result in what matrix below?
    8·1 answer
  • A function is created to represent the amount of texts sent each month. What restrictions would be made to the range?
    12·1 answer
  • What 1/2 as a decimal??? plaese helppp
    9·1 answer
  • Help???????????????????
    13·1 answer
  • Consider this expression.
    12·1 answer
  • Write an equivalent function in the form V(t)=ab^t
    12·1 answer
  • Public accountants may earn the title of CPA by ____________.
    10·1 answer
  • 4. Identify each of the following as a carbohydrate, lipid, protein, or nucleic acid.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!