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
lina2011 [118]
3 years ago
7

Explain in easy terms, how the signs of the last terms of the two binomial factors of a trinomial are determined?

Mathematics
1 answer:
shutvik [7]3 years ago
5 0

Explanation:

It helps to understand the process of multiplying the binomials. Consider the simple case ...

  (x +a)(x +b)

The product is ...

  (x +a)(x +b) = x² +(a+b)x + ab

If the <em>constant</em> term (ab) is <em>negative</em>, the signs of (a) and (b) are <em>different</em>.

If the constant term (ab) is <em>positive</em>, the signs of (a) and (b) will both match the sign of the coefficient of the linear term (a+b).

___

Of course, the sum (a+b) will have the sign of the (a) or (b) value with the largest magnitude, so when the signs of (a) and (b) are different, the factor with the largest magnitude will have the sign of (a+b), the x-coefficient.

<u>Example</u>:

  x² -x -6

 -6 tells you the factors will have different signs. -x tells you the one with the largest magnitude will be negative.

  -6 = -6×1 = -3×2 = ... (other factor pairs have a negative factor with a smaller magnitude)

 The sums of these factor pairs are -5 and -1. We want the factor pair that has a sum of -1, the coefficient of x in the trinomial.

  x² -x -6 = (x -3)(x +2)

You might be interested in
Will mark brainliest <br> Number 1 and 3
Keith_Richards [23]

Answer: Q1=20 Q2=39

Step-by-step explanation:

For question one all you have to do is multiply 20x35x8 giving you 5600. For question two just multiply 39x7x8 giving you 2184. Beat of luck.

8 0
2 years ago
Which of the following best represent the average speed of a fast runner
Setler79 [48]
Uhh the first one? I can't see a picture or anything....
6 0
3 years ago
Can somebody please help me with my math I need help ASAP
zzz [600]
Can you make it bigger?
4 0
3 years ago
Sam spins a wheel shown below. What is the probability that it lands on<br>a number less than 6?*​
Verdich [7]

Answer:

No wheel shown

Step-by-step explanation:

6 0
3 years ago
URGENT!!!!! I really suck at these help please I beg of you
taurus [48]

Answer:

Step-by-step explanation:

1) ∠WVZ and ∠VWX are right angles & VX = = WZ      Given

2) WV = VW                                                                      Reflexive property

3) ΔWVZ ≅ ΔVWX                                                           HL

4) ∠Z = ∠X                                                                       CPCT

CPCT --> Corresponding parts of congruent triangle.

5 0
3 years ago
Other questions:
  • Wayne has a recipe on a 3-inch-by-5-inch index card that he wants to enlarge to 15 inches long. How wide will the enlargement be
    14·2 answers
  • At Furnace Woods School, enrollment increased from 320 students in 2006  to 349 students in 2007. What is the percent increase i
    5·1 answer
  • Answer this question:<br><br> 7-2a+b-6a+7b+9
    6·1 answer
  • If the length of a figure (preimage) is 6cm, how long will the new figure (image) be if you triple the length? Explain how you f
    9·1 answer
  • Which of the following is the solution set of the equation shown below? 2x(x+3)-5(x+3)=0​
    12·2 answers
  • Which is NOT proportionate to 15/45 <br><br> 3/9<br><br> 3/15<br><br> 1/3<br><br> 30/90
    8·1 answer
  • Write an equation in point-slope form of the line through these given points.I need separate answers for each problem, thx
    5·1 answer
  • Which of the numbers below has a value that is between 3 and 4?
    7·1 answer
  • Help please!!!!!!!!!
    9·1 answer
  • Can i get help on this question<br> x+4= -9 1/4
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!