1. kalena was asked to prove ifx(x - 1)(x + 1) = x3 - x represents a polynomial identity. she
states that this relationship is not true and the work she used to justify her thinking is shown.
step 1: x(x - 1)(x + 1)
step 2: (x2 + x)(x - 1)
step 3: x3 - x2 - x2 - x
step 4: x3 - 2x2 - x
which statement correctly describes kalena's justification?
a. kalena is correct. there are no mistakes in her justification.
b. kalena made a mistake in step 2. the justification should state: (2x - x)(x + 1).
c. kalena made a mistake in step 3. the justification should state: x
- x.
d. kalena made a mistake in step 4. the justification should state: x3 + 2x2 - x

C. Kalena made a mistake in Step 3. The justification should state: -x²

+ x²

Step-by-step explanation:

Given the function x(x - 1)(x + 1) = x3 - X

To justify kelena proof

We will need to show if the two equations are equal.

Starting from the RHS with function x³-x

First we will factor out the common factor which is 'x' to have;

x(x²-1)

Factorising x²-1 using the difference of two square will give;

x(x+1)(x-1)

Note that for two real number a and b, the expansion of a²-b² using difference vof two square will give;

a²-b² = (a+b)(a-b) hence;

Factorising x²-1 using the difference of two square will give;

x(x+1)(x-1)

Factorising x(x+1) gives x²+x, therefore

x(x+1)(x-1) = (x²+x)(x-1)

(x²+x)(x-1) = x³-x²+x²-x

The function x³-x²+x²-x gotten shows that kelena made a mistake in step 3, the justification should be -x²+x² not -x-x²

ok

step-by-step explanation:

the median here is 25. your lowest value is 14 and highest value is 48. to find the third quartile, find the medium number in between 25 and 48 which would be 42 i believe.