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

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

1. Multiply the terms:

[

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

]

This gives:

[

-10x^2 + 20x + 4x – 8

]

Combining like terms:

[

-10x^2 + 24x – 8

]

Now, let’s compare each option to this result (-10x² + 24x – 8):

1. -10x + 20x + 4x – 8 simplifies to 24x – 8, which is not the same.
2. -8 + 24x – 10x² is equivalent to -10x² + 24x – 8, which matches.
3. 4x + 20x – 10x² – 8 simplifies to -10x² + 24x – 8, which matches.
4. -10x² + 24x – 8 is exactly the same.

Therefore, the polynomial that is NOT equivalent is the first one: -10x + 20x + 4x – 8.