Which polynomial is NOT equivalent to (5x – 2)(-2x + 4)

To determine which polynomial is NOT equivalent to ( (5x – 2)(-2x + 4) ), we first need to expand this expression.

1. Use the distributive property (FOIL method):

[

(5x)(-2x) + (5x)(4) + (-2)(-2x) + (-2)(4)

]

This simplifies to:

[

-10x^2 + 20x + 4x – 8

]

Combine like terms:

[

-10x^2 + 24x – 8

]

Now, let’s compare this result with the provided options:

1. (-10x + 20x + 4x – 8 = 14x – 8) (not equivalent)
2. (-8 + 24x – 10x^2) (equivalent)
3. (4x + 20x – 10x^2 – 8 = -10x^2 + 24x – 8) (equivalent)
4. (-10x^2 + 24x – 8) (equivalent)

The polynomial that is NOT equivalent to ( (5x – 2)(-2x + 4) ) is:

-10x + 20x + 4x – 8.

This