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emmainna [20.7K]
3 years ago
8

Find all rational zeros and factor f(x) for x^3 + 2x^2 -45x -126

Mathematics
1 answer:
alexdok [17]3 years ago
6 0
The rational root are x= 7,-3,-6
You can find them by substituting y for 0
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Rewrite x2 − 6x + 7 = 0 in the form (x − a)2 = b, where a and b are integers, to determine the a and b values.
Setler79 [48]

Answer:

Therefore values of a and b are

a=3\ and\ b = 2

Step-by-step explanation:

Rewrite x^{2}-6x+7=0 in the form

(x-a)^{2}=b

where a and b are integers,

To Find:

a = ?

b = ?

Solution:

x^{2}-6x+7=0 ..............Given

Which can be written as

x^{2}-6x=-7

(\frac{1}{2} coefficient\ of\ x)^{2}=(\frac{1}{2}\times -6)^{2}=9

Adding half coefficient of X square on both the side we get

x^{2}-6x+9=-7+9=2 ...................( 1 )

By identity we have (A - B)² =A² - 2AB + B²

Therefore,

x^{2}-6x+9=x^{2}-2\times 3\times x+3^{2}=(x-3)^{2}

Substituting in equation 1 we get

(x-3)^{2}=2

Which is in the form of

(x-a)^{2}=b

On comparing we get

a = 3 and b = 2

Therefore values of a and b are

a=3\ and\ b = 2

4 0
3 years ago
An airplane on a transatlantic flight took 4 hours 20 minutes to get from New York to its destination, a distance of 3,000 miles
ankoles [38]
738.

3200/4.33= 739.01

The closest to that is 738
4 0
2 years ago
What shape is this.. quadrilateral <br> Trapezoid <br> Rhombus <br> Parallelogram
KATRIN_1 [288]
It is a quadrilateral
8 0
2 years ago
Read 2 more answers
What is the inverse of the function below?
timama [110]

Answer:

Step-by-step explanation:

The correct answer is A

8 0
3 years ago
If the endpoints of AB are located at (0,7) and (8,8) what is the length of AB?
Leokris [45]

Answer:

√65

Step-by-step explanation:

The distance formula can be represented as

\sqrt{(x_{2} -x_1)^2 + (y_2-y_1)^2}

Taking (8,8) as (x₂, y₂) and (0,7) as (x₁, y₁), we have

\sqrt{(8 -0)^2 + (8-7)^2}\\= \sqrt{8^2 + 1^2}\\= \sqrt{65}

as our answer

5 0
2 years ago
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