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
tia_tia [17]
3 years ago
12

If -2 and 3 are zeroes of quadratic polynomial xsquare + (a+1)x+b then find the value of and b

Mathematics
1 answer:
ohaa [14]3 years ago
4 0

Answer:

a = - 2, b = - 6

Step-by-step explanation:

Substitute the values of the zeros into the polynomial and equate to zero.

x² +(a + 1)x + b

x = - 2 → (- 2)² - 2(a + 1) + b = 0 , that is

4 - 2a - 2 + b = 0

2 - 2a + b = 0 ( subtract 2 from both sides )

- 2a + b = - 2 → (1)

x = 3 → 3² + 3(a + 1) + b = 0, that is

9 + 3a + 3 + b = 0

12 + 3a + b = 0 ( subtract 12 from both sides )

3a + b = - 12 → (2)

Subtract (1) from (2) term by term to eliminate b

5a = - 10 ( divide both sides by 5 )

a = - 2

Substitute a = - 2 into either of the 2 equations and evaluate for b

Substituting into (2)

3(- 2) + b = - 12

- 6 + b = - 12 ( add 6 to both sides )

b = - 6

Thus a = - 2 and b = - 6

You might be interested in
Jordan wants to measure a length of fabric, but the only tape measure she has is damaged. The first number on her tape measure i
Alex
Djdjxkdjdkdkdjddjdjdj yuppppppppp 37387(5y6666+4)WEI
7 0
2 years ago
If rs =3x + 1, st = 2x- 2 ,and rt = 64,find the value of x
stealth61 [152]
             rs + st = rt     Plug in the values
3x + 1 + 2x - 2 = 64   Combine like terms (1 and -2)
       3x -1 + 2x = 64   Combine like terms (3x and 2x)
            -1 + 5x = 64   Add 1 to both sides
                  5x = 65   Divide both sides by 5
                    x = 13
3 0
3 years ago
What are the factors of 2x2 + 3x – 54? Select two options. 2x – 9 2x – 6 2x + 6 x – 6 x + 6
andrew-mc [135]

Answer:

2x − 9 and x + 6

Step-by-step explanation:

2x² + 3x − 54

Factor using the AC method.

2 × -54 = -108

Factors of -108 that add up to 3 are +12 and -9.

Divide by 2 and reduce: 12/2 = 6/1, -9/2 = -9/2.

Therefore, the factors are x + 6 and 2x − 9.

8 0
3 years ago
The sum of two numbers<br> is 8. their difference is 12.<br> find the numbers.
Aleonysh [2.5K]
X + y = 8
x - y = 12
--------------add
2x = 20
x = 20/2
x = 10

x + y = 8
10 + y = 8
y = 8 - 10
y = -2

ur numbers are 10 and -2
7 0
3 years ago
Read 2 more answers
If you were constructing a TRIANGULAR FRAME, and you had wood in the length of 4inches, 4 inches, and 7 inches, would it make a
klemol [59]

Answer:

  Yes

Step-by-step explanation:

In order to make a triangle with non-zero area, the sum of the shorter two sides must be greater than the longest side.

Here, 4 + 4 > 7, so the lengths can form a triangle.

8 0
3 years ago
Other questions:
  • This is yes/no question. Does 0.1 equal 10 percent? If not what does it equal? Brain dead
    15·2 answers
  • What's the surface area?
    5·1 answer
  • The ratio of hours that Peter is awake to hours that he sleeps is 2:1. The ratio of hours that Nancy is awake to hours that she
    8·2 answers
  • Write an expression that is equivalent to three over four(5z + 16).
    12·1 answer
  • Why do vertices connected by a diagonal of a polygon have to be nonconsecutive?
    12·2 answers
  • Write your answer in simplest radical form​
    15·1 answer
  • Pls help I have finalssss!!!​
    11·1 answer
  • McKenna earns $12 per hour mowing her grandmother yard.
    15·1 answer
  • Haley bought a hamburger, two hotdogs, a large Order of fries, and one medium soda. How much change did she get from $20.00?
    10·1 answer
  • If you receive a 30% DISCOUNT off an item costing $60.00, how much money do you save?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!