Mathematics : asked on tiara0
 12.04.2022

X^2 + 4x - 12 help ..

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Step-by-step answer

24.06.2023, solved by verified expert

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Mathematics
Step-by-step answer
P Answered by Specialist

Step-by-step explanation:

In order to be undefined, the fraction must have the denominator equal to 0, therefore we need to solve the equation

x^2 -4x - 12 = 0\\

This is a second degree equation, and we can re-write it to

(x-6)(x+2) = 0

We notice that the solution to be composed of 2 values:

x = 6

and

x = -2

Therefore the set of values of x for which the said expression is undefined is

S={-2, 6}

Alternatively, if you don't notice how to re-write it factored, you can use the 2nd degree equation solving algorithm:

\Delta = (-4)^2 - 4\cdot1\cdot(-12) = 16+48 = 64\\x_1 = \frac{-(-4)-\sqrt{64} }{2\cdot1} = -2\\x_1 = \frac{-(-4)+\sqrt{64} }{2\cdot1} = 6

Mathematics
Step-by-step answer
P Answered by Specialist

Step-by-step explanation:

In order to be undefined, the fraction must have the denominator equal to 0, therefore we need to solve the equation

x^2 -4x - 12 = 0\\

This is a second degree equation, and we can re-write it to

(x-6)(x+2) = 0

We notice that the solution to be composed of 2 values:

x = 6

and

x = -2

Therefore the set of values of x for which the said expression is undefined is

S={-2, 6}

Alternatively, if you don't notice how to re-write it factored, you can use the 2nd degree equation solving algorithm:

\Delta = (-4)^2 - 4\cdot1\cdot(-12) = 16+48 = 64\\x_1 = \frac{-(-4)-\sqrt{64} }{2\cdot1} = -2\\x_1 = \frac{-(-4)+\sqrt{64} }{2\cdot1} = 6

Mathematics
Step-by-step answer
P Answered by Specialist
Start by breaking the polynomial into two binomials:

x^2 + 4x - 12 = 0 
(x+6)(x-2)=0

Now set each binomial equal to zero:

(x+6)=0
x=-6
(x-2)=0
x=2

So your answers are x=2 and x= -6
Mathematics
Step-by-step answer
P Answered by Master
Start by breaking the polynomial into two binomials:

x^2 + 4x - 12 = 0 
(x+6)(x-2)=0

Now set each binomial equal to zero:

(x+6)=0
x=-6
(x-2)=0
x=2

So your answers are x=2 and x= -6
Mathematics
Step-by-step answer
P Answered by PhD

That can be factored:

(x +6) * (x -2)

Therefore, x = -6 and x =2

Step-by-step explanation:

Mathematics
Step-by-step answer
P Answered by PhD

(X - 2) (x + 6) is the answer

Mathematics
Step-by-step answer
P Answered by PhD

B)4

C)-20

D)-4

the answer is D -4

Step-by-step explanation:

you plug f(x) into 4x. y=4(2)-12 have a good day :)

Mathematics
Step-by-step answer
P Answered by Master
Graph A it looks like this when plugged into a graphing calculator
Which of the following is the graph of the quadratic function y = x^2 + 4x - 12
Mathematics
Step-by-step answer
P Answered by PhD

The answer to your question is:    (  x + 6  ) ( x - 2 )

Step-by-step explanation:

                           

             Factor             x² + 4x - 12 = 0

    Find two numbers that added gives +4 and if we multiply them get -12

We can find these numbers by decomposing -12 in its prime factors

           12    2

             6   2                         12 = 2 x 2 x 3

             3    3                  now combine the numbers to get -12 and + 4

             1                             2    and   2 x 3 = 6

                                        and 2 x 6 = 12

Then

                               (  x + 6  ) ( x - 2 )

Mathematics
Step-by-step answer
P Answered by PhD

That can be factored:

(x +6) * (x -2)

Therefore, x = -6 and x =2

Step-by-step explanation:

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