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
adelina 88 [10]
3 years ago
9

Which of the binomials below is a factor of this trinomial?

Mathematics
2 answers:
kirill115 [55]3 years ago
8 0

You would use syntheitc division to find this out. If, after we do the division, we have a remainder of 0, then the binomial is a factor. If there is a remainder that is a real number (any number that's not a 0), then the binomial is not a factor. It's that simple. We will start at the top. Our first binomial is x - 7 = 0. That means that x = 7. We will put 7 outside the "box" and the coefficients of the terms inside the box, like this: 7 (1 19 84). Bring down the 1. Multiply that 1 by the 7 to get 7. Put that 7 up under the 19 and add to get 26. Multiply that 26 by the 7 to get 182. Put that 182 up under the 84 and add to get 266. Definitely NOT a 0, so x - is not a factor. Let's move to the next one. x + 84 = 0, so x = -84. Put -84 outside the box and the coefficients of the terms inside like this: -84 (1 19 84). Bring down the 1 and multiply it by -84 to get -84. Put that -84 up under the 19 and add to get -65. Multiply that -65 by the -84 to get 5460. Again, not a 0. Moving on...x + 7 = 0 so x = -7. Set up the same way. Bring down the 1 and multiply by the -7 to get -7. Put that -7 up under the 19 and add to get 12. Multiply 12 by the -7 to get -84. Put the -84 up under the 84 and add to get 0. That means that x + 7 is a factor of the polynomial. Just so you know, one of the rules of synthetic division is that you are only allowed to use binomials as your possible roots. x^2+12 is itself a polynomial so we can't use sythetic division to do this. Also, because both the polynomials are second degree polynomials, they won't divide evenly anyway. So your only factor is x + 7. There you go!

Masteriza [31]3 years ago
7 0
Factored form:
(x+12)(x+7)
Proof:
12+7=19
12*7=84

Final answer: C
You might be interested in
When solving an equation why do you apply the inverse on<br> the given operation to both sides
creativ13 [48]

You can do anything you want to one side of an equation.
You'll usually apply an inverse operation to make the side
simpler, for example to get rid of the 'x', or to get rid of the
fractions on that side.

But when you do something to one side of the equation,
you MUST do exactly the same thing to the other side too.
If you don't, then you have changed the equation to a
different one, and the solution to the one you have now
is not the solution to the original one.

Very simple example:

Solve the equation            2x = 2

Correct solution:
Divide each side by  2 :      x = 1

Incorrect solution:
Divide the left side by  2 :    x = 2

3 0
4 years ago
Answer the question below
ankoles [38]
Answer:a
explanation:
6(1) cm2
6 cm 2


good luck!
7 0
3 years ago
Write a story problem for the addition sentence 7 +__=9.solve the story problem.
leva [86]
Katelan has 9 friends as guests for a costume party. Katelan is elaborating carnival masks for them. So far , she has made 7 masks. How much more masks is Katelan left to do?

Answer: Katelan has 2 masks left to do . Because 7 (plus) 2 is 9.
6 0
4 years ago
Read 2 more answers
M &lt; JH I= (2x+7) and m
Vlad [161]

!!!!!!!!!!!!!!!!???????????

3 0
3 years ago
Find the measure of the missing angle <br><br> Answer: a=
makvit [3.9K]

Answer:

Hello! answer: 49

Step-by-step explanation:

This is a complementary angle meaning it will add up to 90 degrees so...

90 - 41 = 49 therefore a = 49 hope that helps!

5 0
3 years ago
Read 2 more answers
Other questions:
  • A triangle has a width of 30 and a height of 18. what is it slope
    12·1 answer
  • What is the factorization of the polynomial? (8x – 1)(7x – 1) (8x + 1)(7x – 1) (8x + 7x)(1 – 1)
    6·2 answers
  • What’s a polynomial?
    15·1 answer
  • A pool is half of a circle with a radius of 12 feet. The pool has a 6 foot high fence around it. The fence is 8 feet from the ed
    13·1 answer
  • What is the volume of the cone to the nearest cubic millimeter? (Use ​π = 3.14)
    9·1 answer
  • The price of a smart watch is $109.99 and the sales tax is 6.5%. What is the total cost of the smart watch? Enter your answer in
    13·2 answers
  • How can I make an equation for 3+5 cold in hot cubes
    11·2 answers
  • 10=z+6 plsss solve !!!!
    6·2 answers
  • Solve the equation 2x - 4 = 12
    14·1 answer
  • HELP ASAP!! What is the equation for the constant of proportionality that matches the table?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!