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

To determine which polynomial is NOT equivalent to ((5x – 2)(-2x + 4)), let’s first simplify the expression:

1. Use the distributive property (FOIL method):

[

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

]

This simplifies to:

[

-10x^2 + 20x + 4x – 8

]

Combining like terms results in:

[

-10x^2 + 24x – 8

]

Now let’s look at the options provided:

1. -10x + 20x + 4x – 8 simplifies to:

(-10x + 24x – 8 = 14x – 8) — NOT equivalent.

2. -8 + 24x – 10x² is equivalent to:

(-10x^2 + 24x – 8) — equivalent.

3. 4x + 20x – 10x² – 8 simplifies to:

(24x – 10x^2 – 8) or (-10x^2 + 24x – 8) — equivalent.

4. -10x² + 24x – 8 — also equivalent.