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 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.