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
harina [27]
3 years ago
7

What is the factored form of y^2+6y-16

Mathematics
2 answers:
Bess [88]3 years ago
7 0

Answer:

y=2 y=-8

Step-by-step explanation:

y^2+6y-16=0

this is a quadratic equation

we are going to factor as you have mention you want it solved with factorization;

The first term is,  y2  its coefficient is  1 .

The middle term is,  +6y  its coefficient is  6 .

The last term, "the constant", is  -16  

Multiply the coefficient of the first term by the constant   1 • -16 = -16

Find two factors of  -16  whose sum equals the coefficient of the middle term, which is   6 .

-2+8 = 6

Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -2  and  8  

                    y^2 - 2y + 8y - 16

Add up the first 2 terms, pulling out like factors :

                   y • (y-2)

Add up the last 2 terms, pulling out common factors :

                   8 • (y-2)

Add up the four terms

(y+8)  •  (y-2)

 Which is the desired factorization

y=2 y=-8

Please  mark as brainliest

Vlada [557]3 years ago
6 0
<h2><em>y 2 + 6 y − 16 = ( y + 8 ) ( y − 2 )   </em></h2><h2 /><h2><em>Explanation: </em></h2><h2><em>Note that in general: </em></h2><h2 /><h2><em>( y + a ) (y − b ) = y 2 + ( a − b ) y − a b </em></h2><h2 /><h2><em>So we want to find a pair of factors  a  and  b  of  16  which differ by  6 .  </em></h2><h2><em>The pair  8 , 2 works in that  8− 2 = 6  and  8 ⋅ 2= 16 . </em></h2><h2 /><h2><em>Hence: </em></h2><h2><em> y 2 + 6 y − 16 = ( y+ 8 ) ( y − 2 )</em></h2><h2><em>y=2,-8</em></h2>
You might be interested in
Describe the rays of an angle that measures 1/2 turn?
mel-nik [20]
<span>180 degrese or some thing flat</span>
8 0
3 years ago
What is the constant of proportionality, and what method did you use to determine this?
atroni [7]

Answer:

it should be A

Step-by-step explanation:

hope this helps :)

8 0
3 years ago
How many gallons of oil can a cylindrical tank with diameter 120 feet and height 60 feet hold?
otez555 [7]

Answer:

Idk

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
I need some help ? Does anyone know this:)I’m new too this thats why im asking loll
kherson [118]
The answer is 36 because in order to find area you multiply length and width so:

A= L x W
9 x 4 = 36
8 0
3 years ago
Read 2 more answers
On a floor plan for Rosedale Middle School, 1 inch represents 10 feet. If Sarah's classroom is 2 inches by 3 inches on the floor
photoshop1234 [79]

Answer:

If you want A brainly go subscribe to this youtubr channel Florida_kik

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • Identify the function from this data chart
    6·2 answers
  • 15x + 20xy = 5x(4y) <br> Are these two Equivalent
    5·1 answer
  • Imagine that there are currently three major cell phone service providers available in the United States. The largest one has en
    8·1 answer
  • How many times do 4 go into 72
    5·2 answers
  • If 2+3=10, 7 + 2 = 63, 6 + 5 = 66 and 8+4 = 96 then what is 9 + 7?
    14·1 answer
  • How can you make 5/7% into a fraction?​
    9·2 answers
  • Find the value of x.
    14·1 answer
  • What is the answer to d- 48.60 = 80.00
    11·2 answers
  • The Bureau of Alcohol, Tobacco, and Firearms (BATF) has been concerned about lead levels in California wines. In a previous test
    11·1 answer
  • Which side lengths form an obtuse triangle? 0 28, 96, 100 O 40, 75, 85 O 17, 18, 19 O 2, 5,8 O 4, 5, 6
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!