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

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

1. Expand (5x – 2)(-2x + 4):

– Using the distributive property (also known as FOIL for binomials):

– ( 5x cdot -2x = -10x^2 )

– ( 5x cdot 4 = 20x )

– ( -2 cdot -2x = 4x )

– ( -2 cdot 4 = -8 )

Now, combine the terms:

[

-10x^2 + 20x + 4x – 8 = -10x^2 + 24x – 8

]

Next, we compare this polynomial (-10x^2 + 24x – 8) with each option:

1. Option 1: (-10x + 20x + 4x – 8)

– Combine: (20x – 10x + 4x – 8 = 14x – 8) (not equivalent)

2. Option 2: (-8 + 24x – 10x^2)

– This is just the rearrangement of (-10x^2 +