Place the indicated product in the proper location on the grid. (x2 + 4)(x2 - 4)

 (x2 + 4) • (x + 2) • (x - 2)

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "x2"   was replaced by   "x^2".  1 more similar replacement(s).

Step by step solution :

Step  1  :

Polynomial Roots Calculator :

1.1    Find roots (zeroes) of :       F(x) = x2+4

Polynomial Roots Calculator is a set of methods aimed at finding values of  x  for which   F(x)=0  

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers  x  which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number  P/Q   then  P  is a factor of the Trailing Constant and  Q  is a factor of the Leading Coefficient

In this case, the Leading Coefficient is  1  and the Trailing Constant is  4.

The factor(s) are:

of the Leading Coefficient :  1

of the Trailing Constant :  1 ,2 ,4

Let us test

 P    Q    P/Q    F(P/Q)    Divisor

     -1       1        -1.00        5.00    

     -2       1        -2.00        8.00    

     -4       1        -4.00        20.00    

     1       1        1.00        5.00    

     2       1        2.00        8.00    

     4       1        4.00        20.00    

Polynomial Roots Calculator found no rational roots

Trying to factor as a Difference of Squares :

1.2      Factoring:  x2-4

Theory : A difference of two perfect squares,  A2 - B2  can be factored into  (A+B) • (A-B)

Proof :  (A+B) • (A-B) =

        A2 - AB + BA - B2 =

        A2 - AB + AB - B2 =

        A2 - B2

Note :  AB = BA is the commutative property of multiplication.

Note :  - AB + AB equals zero and is therefore eliminated from the expression.

Check : 4 is the square of 2

Check :  x2  is the square of  x1

Factorization is :       (x + 2)  •  (x - 2)

Final result :

 (x2 + 4) • (x + 2) • (x - 2)

Step-by-step explanation:

the answer is x^4-16

Step-by-step explanation:

to plot points   for x just start at the origin (middle) and go to the left however many times it say(if the number is a positive) if the number is a negative then go right however many times it says if it is 0 go nowhere

now keep you pencil there and go up however many times it says on y(if it is positive) if it is negative then go down however many times it says. if it says 0 go nowhere.

you have just plotted a point! now when you finish plotting all of them connect them with a ruler

plot each point as (-3, 7), (0,4), (3,1), (8,-4)   in the parenthesis on the left of the comma is x and the right is y.

is means division by fractions

step-by-step explanation: