Which polynomial is NOT equivalent to (5x – 2)(-2x + 4)?
– -10x + 20x + 4x – 8
– -8 + 24x – 10x²
– 4x + 20x – 10x² – 8
– -10x² + 24x – 8
Which polynomial is NOT equivalent to (5x – 2)(-2x + 4)
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Which polynomial is NOT equivalent to (5x – 2)(-2x + 4)?
– -10x + 20x + 4x – 8
– -8 + 24x – 10x²
– 4x + 20x – 10x² – 8
– -10x² + 24x – 8
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.